Power Rule for Derivatives Flashcards

1

Find the derivative of y = x⁶(x⁵-x)

11x10-7x6
x30-x
x11-x7
30x29-1

2

Find the equation of the tangent line to y = 3x²-10x at x=1

y=-4x+3
y = -4x-11
y= 4x+3
y = -4x-3

3

Find the slope of the tangent line to the curve at x=2:

9
12
3
6

4

Find y' given the function below:

-x-2 + 2x-3
x-1 - 2x-2
-x-2 - 2x-3
x-1 - 2x-3

5

Find the derivative of f(x):

C
D
B
A

6

Find the derivative of f(x) = 7x⁵ - 4x⁸+ 1

7x4-4x7
35x4 - 32x7+1
35x5-32x8
35x4 - 32x7

7

Find dy/dx:

2x+1
1
-1
2x-1

8

Find dy/dx:

2x-1/2
2x1/2
(1/2)x-1/2
(-1/2)x-1/2

9

Find the derivative

C
B
D
A

10

Find d²y/dx²

6x - 6x-4
3x2 -2x-3
6x + 6x-4
6x + 12x-4

11

What is the derivative of x^π?

xπ lnπ
πxπ-1
xπ lnπ
0

12

What is the derivative of f(x) = π² ?

0
2π
2
2π3

13

Find the derivative

C
B
A
D

14

What is the derivative? y = 5∛x

15x-2/3
(5/3)x-1/3
5/(3x2/3)
(5/3)x2/3

15

Find dy/dx:

20x3-6x
20x3-6x+2
20x4-6x2
20x3-6x2

Power Rule for Derivatives

Questions 15

Power Rule for Derivatives

Questions 15