Basic Derivatives
Product and Quotient Rule
Chain Rule
Trigonometric Derivatives
Logarithmic and Exponential Derivatives
100
What is the derivative of y = 3x2 ?
y' = 6x
100
Find the derivative of y = 3x2 sin x
3x2 cos x + 6x sin x
100
Find y' if y = (3x - 9)4
12(3x - 9)3
100
f(x) = sec x
f'(x) = sec x tan x
100

Find the second derivative of y = ex

y'' = ex

200
Find the derivative of f(x) = 5
0
200
f(x) = (3x - 2x2)(5 + 4x)
-24x2 + 4x + 15
200

Find the derivative of f(x) = sin 4x

4 cos 4x

200

y = 3csc(2x)

y' = -6csc(2x)cot(2x)

200
f(x) = ln(x2)
2/x
300
Find the derivative of f(x) = 6x3 + x - 2
18x2 + 1
300

Find the derivative of

y = (5x - 2)/(x2 + 1)

(-5x2 + 4x + 5)/(x2 + 1)2

300
Find y' if y = (9x2 + 4)1/3
(6x)/(9x2 + 4)2/3
300

f(x) = sin x tan x

f'(x) = cos x tan x + sin x sec2x

300

f(x) = 3x2 

f'(x) = 2x ln(3) 3x2

400

Find the derivative of f(x) = 3sin(x) - 2cos(x)

3cos(x) + 2sin(x)

400
Find the derivative of f(x) = (2x + 5)/(x)1/2
(2x - 5)/(2x3/2)
400

f(x) = sin3(4x).

Find f'(x)

12sin2(4x) cos(4x)

400

y = tan(sec x)

y' = sec x tan x sec2(sec x)

400

f(x) = ln(x/(x2 + 1))

f'(x) = (1/x) - (2x/(x2 + 1))

500

The derivative of 13x4 + 3x2  - 6x +3

What is 52x3 + 6x - 6?

500

The derivative of 3xsin(3x)

What is 3sin(3x) + 9xcos(3x)?

500

The derivative of sin2(3x)

What is 6sin(3x)cos(3x)

500

The derivative of sin(x)cos(x)/tan(x).

What is -2cos(x)sin(x)?

500

y = 10log4(6)/t

-10log4(6)/t2

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