what is the derivative of 4x+ k​

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{dy}{dx} = 4[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

*Note:

Treat k as an arbitrary constant.

Step 1: Define

Identify

[tex]\displaystyle y = 4x + k[/tex]

Step 2: Differentiate

Derivative Property [Addition/Subtraction]:                                                 [tex]\displaystyle y' = \frac{d}{dx}[4x] + \frac{d}{dx}[k][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle y' = 4 \frac{d}{dx}[x] + \frac{d}{dx}[k][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = 4[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation


Related Questions

find the slope hurry pleaseeee

Answers

Answer:

I think the answer is ¼, im not 100% aure tho.

Step-by-step explanation:

its 94 i said it first tho so does that mean i get brainliest

Answers

Answer:

YA if you said it first ya you are supposed to get brainlies ONLY if the question says will give brainliest if your right

Step-by-step explanation:

Mike walked 5/8 of the way to school before it started raining.how many percent of the trip did he get before it rained ​

Answers

Answer:

62.5%

Step-by-step explanation:

To find the percent, divide 5 by 8, and multiply it by 100:

5/8

= 0.625

0.625(100)

= 62.5

So, Mike walked 62.5% of the trip

Answer:

62.5%

Step-by-step explanation:

5/8 As A Decimal Is 0.625

So  Inequalify 5/8.   So, 62.5/100

then convert 0.625 by 5/8, Which is 62.5.

So your answer is 62.5%.

Will give brainliest plz help!

Answers

Answer:

6.28cm

Step-by-step explanation:

I think for me the easiest would be to find the circumference and divide by 4, since the arc is 1/4 of the circumference of the circle.

C=2πr

C=2(3.14)(4)

C = 25.12cm

25.12cm/4 = 6.28

What are the real or imaginary solutions of each polynomial equation?
If you can answer both questions thank you

Answers

1) a
2) c

#1 explanation:

x^4-20x^2=-64
x^4-20x^2+64=0
(find a number that multiplies to the last number aka 64 and adds up to b aka 20)
((x-4)(x-16))^2
x= -2,2,-4,4

same for #2 w different variable and numbers


WHAT IS THISSSSSSSSSSSSS

Answers

Answer:

1 is to 2

Ie

1/2

Step-by-step explanation:

hope it helps

Answer:

2 to 1

which equals 2

Step-by-step explanation:

if you look at point B (2,1) and B’ (4,2)

we can see that each value is multiplied by 2

How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?

a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years

Answers

Answer:

1. 15.9 years

Step-by-step explanation:

You must solve this equation:

[tex]6000 \cdot 1.091^n > 24000[/tex]

So [tex]1.091^n > 4[/tex]

Take the log left and right:

[tex]\log 1.091^n > \log 4[/tex]

use the log property that you can put the exponent in front:

[tex]n \cdot \log 1.091 > \log 4[/tex]

[tex]n > \frac{\log 4}{\log 1.091}[/tex]

n > 15.917

Help please, and don't comment just to get the points :(

Answers

Answer:

60 degrees

Step-by-step explanation:

As the triangle is similar angle don't change so 50+70=120 and the angle of a triangle total to 180 so 180-120=60

Answer:

60°

Step-by-step explanation:

As it is said that the triangles are similar so In the similar triangles corresponding angles are equal so

< A = 50°

<E = 70°

< B = < E = 70° { being corresponding angles of similar triangles }

Now

< A + <B + < C = 180° {Being sum of angles of triangle }

50° + 70° + < C = 180°

< C = 180° - 120°

< C = 60°

Hope it will help :)❤

Which statement about the two triangles is correct?

Answers

Answer:

The second choice

Step-by-step explanation:

i dunno how to explain it

Please help on these two question it is due today please help me.

Answers

Answer:   7 is 6 feet by 21 feet

8 is 12 inches

Step-by-step explanation:

Please help, round to the nearest thousandth

Answers

Answer: 188.5

Step-by-step explanation:

A=2(πrh)+2(πr^2) (formula)

188.49556

Evaluate: (4/25)^1/2

Answers

I think the answer is 2/5

I need help please ASAP lm really stuck on this question

Answers

Answer:

y=2x+3

Step-by-step explanation:

slope is rise over run. goes up to and over one so your slope is 2/1 or 2.

the c part of the equation of the line is your y-intercept(where the line crosses the y-axis) this is at 3.

so, y=2x+3

Look at the figure. Find the value of x

Answers

Answer:

x=15

Step-by-step explanation:

This is an Isosceles Triangle, so that means there are two angels that are the same. So we could rearrange the equations to get:

[tex]3x=5x-30\\\text{ subtract 5x on both sides }\\\\-2x=-30\\\text{ divide by two on both sides }\\x=15\\[/tex]

Hope it helps.

To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694. Write and solve an equation to find the total amount he will have paid after 2 years.

Answers

The solution for this problem is:

Let x be the number of months; and

Let y be the amount paid

We know that m is $199 per month and the two other given are 6 months and 2694.

 

y = 199 (x -6) + 2694

y = 199 (36 -6) + 2694

y = 199 (30) + 2694

y = 8664

 

Mr. Scott paid $8664 after 3 years.

In a class there are 15 students. 8 of them like playing soccer, 6 of them like swimming, and 2 like both and swimming and playing soccer. How many students do not like playing soccer and do not like swimming?

Answers

Answer:

6+8-2=12, 15-12=3 answer=3

15 POINTS!!!!!

Choose the postulate used to prove the triangles are congruent. If they are not congruent, choose "Not Congruent"

A. SAS

B. AAS

C. ASA

D. SSA

E. Not Congruent ​

Answers

Answer:

A. SAS

the triangle is congruent by side angle and side

A. SAS Hope this help

what is the scale factor of each model?

Answers

Answer:

5 inches

-I really tried

6, 18, 54, 162
What is the common ratio

Answers

Answer:

3

Step-by-step explanation:

The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry

Answers

Answer:

I think the last one is the answer

HURRYY I ONLY HAVE 15 MINS!!! Find (a) the perimeter and (b) the area of the figure. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

I only know the area sorry it is 7.065 ft2

Answer:

Perimeter: 7.712

Area: 3.534

Step-by-step explanation:

A= [tex]\pi*r^{2}/2\\[/tex]

L=[tex]\pi *r/2\\[/tex]

Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3​

Answers

I have to atletas write 20 words by i know for a fact it’s b

Answer:

8

-4x+6(6-2x) = -7x - 36

-4x+36-12x = -7x-36

-16x+36 = -7x-36

-16x +7x = -36-36

-9x = -72

x = 72/9

x = 8

I need help what is y over 5>= 8

Answers

Answer:

3 i think

Step-by-step explanation:

Write an equation of the line shown in the graph in slope intercept form (y = mx + b). Show
your work for full credit.
(4,6)
(2, 2)

Answers

Answer:

y = 2x - 2

Step-by-step explanation:

Points on graph: (4,6) and (2, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2-6)/(2-4)

m=(-4)/(-2)

m = 2

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 2(x - 4)

y - 6 = 2x - 8

y = 2x - 2

determine the geometric mean of 8 and 12, to the nearest tenth.

Answers

Answer:

is 10

Step-by-step explanation:

i can not figure it out

Answer:

1,3,5,7,10

Step-by-step explanation:

Given the first term and common ratio: Find the 10th Term. The first term is equal to 1 and the common ratio is
equal to -2.

Answers

Answer:

-512

Step-by-step explanation:

The appropriate general formula for a geometric series is a(n) = a(1)*r^(n - 1).

In this problem the first term, a(1) = 1, and the common ratio is r = -2.  The pertinent geometric series is thus:

a(n) = (-2)^(n - 1), and the 10th term is a(10) + (-2)^(10 - 1) = -512 = a(10)

Find the distance between the pair of points. ​(4​,1) and ​(9​,6​)

Answers

Answer:

5√2 or 7.07 units

Step-by-step explanation:

To find the distance between two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the given values of (4​,1) and ​(9​,6​)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - 4)² + (6 - 1)²]

Simplify the parentheses.

d = √[(5)² + (5)²]

Simplify the exponents.

d = √[25 + 25]

Add.

d = √[50]

Evaluate the radical.

5√2 or 7.07

Round the decimal.

5√2 or 7.07 units

Hope this helps!

What is the area of this figure?
Enter your answer in the box.
8 m
m2
p>
5 m
9 m

Answers

Answer:

81m²

Step-by-step explanation:

I took the quiz :)

Answer:

81

Step-by-step explanation:

got it right

Please I will give brainliest

Answers

The answer is 96 square ft

Can someone help me pleasee :)

Answers

Answer:

ill help you

Step-by-step explanation:

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