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 third derivative of y = ex. 

y''' = ex

200

Find the derivative of f(x) = π

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 = 3csc2x
y' = -6csc2xcot2x
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 ln3 3x2

400
Find the derivative of f(x) = 3sinx - 2cosx
3cosx + 2sinx
400

The derivative of 3xsin3x

What is 3sin3x + 9xcos3x



400

f(x) = sin34x. Find f'(x)

12sin24x cos 4x

400

y = tan(sec x)

y' = sec x tan x sec 2(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

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

(2x - 5)/(2x3/2)

500

The derivative of

 cos23x

What is -6cos3xsin3x

500

Find the derivative of 

(sin x cos x)/tan x.

-2cos x sin x

500

Find derivative of 

y = 2x sin(2x)

y'= 2x sin(2x)(2xcos(2x) + sin(2x))ln(2)

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