f'(x) = (-x2 + 6x + 1)/(x2 + 1)2

f'(x) = -1/(2x3/2) - 12x2 - 3/x2

Duplicate of Derivative Rules Flashcards

1

Find the derivative of e^7x-4

y'=e7x-4
y'=e7
y'=-7e7x-4
y'=7e7x-4

2

Find the derivative

2+\frac{1}{x^2}
2
1
2-\frac{1}{x^2}

3

Find dy/dx of 2π

2
1
2π
0

4

If f and g are differentiable functions, and H(x) = f(x)*g(x), find H'(2).

13
-6
-7
-20

5

Find the derivative.

f'(x) = -x2 + 6x + 1
f'(x) = (-x2 + 6x + 1)/(x2 + 1)2
f'(x) = (-x2 - 6x + 1)/(x2 + 1)2
f'(x) = 1/(2x)

6

Find f'(π) if f(x) = cos(2x)

-4
0
-2
4

7

Find the derivative.

f'(x) = -1/(2x3/2) - 12x2 - 3/x2
f'(x) = -1/(2x3/2) - 12x2 + 3/x2
f'(x) = 1/(2x1/2) - 12x2 - 3/x2
f'(x) = x-1/2 - 12x2 + 3x-1

8

Find the derivative of y = sin(x)

y' = sin x
y' = cos x
y' = -tan x
y' = -cos x

9

If f and g are differentiable functions, and H(x) = √f(x) find H'(3).

2
2/√10
1/4
4√10

10

Find the derivative

8x3 - 21x2 + 16x - 13
6x3 - 10x2 + 10x - 13
8x4 - 21x3 + 16x2 - 13
8x4 - 21x3 + 16x2 - 13x

11

Write the equation of the normal line to the function f(x)=3x² +4 at x = 3 in the form y - y₁ = m(x - x₁).

y - 31 = 18(x - 3)
y -31 = (1/22) (x - 3)
y - 31 = (1/18)(x - 3)
y - 31 = 18 (x - 3)

12

Find the derivative.

y' = (2x)(x2 - 1)2(4x2 - 1)]
y' = 12x2(x2 - 1)2
y' = (x2 - 1)2[2x(x2 - 1) + 3x2]
Nope

13

Find the derivative.

f'(x) = 2 - 4/x2
f'(x) = 3x - 3 + 2/x
y' = (6x2 - 6x + 4)/(2x)
f'(x) = 2x - 3 + 4/x

14

Find the derivative of y = ln(2x-7)

1/(2x-7)
(2x - 7)/ln(2x - 7)
(2x-7)/2
2/(2x-7)

15

Find the derivative of y = (3x-4)¹⁰⁰

y'=300(3x-4)99
y'=100(3x-4)99
y=3(3x-4)99
y'=(3x-4)101 /101

16

Find the y' if y = cos(7-x)

-sin(7-x)
cos(7-x)
sin(7-x)
-cos(7-x)

17

If f and g are differentiable functions, and H(x) = f(g(x)), find H'(1).

-6
-12
4
6

18

Find the derivative.

f'(x) = -3x2/[2(1 - x3)1/2]
f'(x) = sqr(-3x2)
f'(x) = (1-x3)1/2
f'(x) = (1/2)/(1 - x3)1/2

Duplicate of Derivative Rules

Questions 18

Duplicate of Derivative Rules

Questions 18