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Basic Derivatives
Product and Quotient Rule
Chain Rule
Implicit Differentiation
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
Find the derivative implicitly x2 + y2 = 30
y' = - x/y
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
sin x + 2cos 2y = 1
y' = cosx/4sin2y
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)1/2

9x/2(9x^2+4)^1/2

300
(y - 2)2 = 4x - 12
y' = 2/(y - 2)
400
Find the derivative of f(x) = 3sinx - 2cosx
3cosx + 2sinx
400

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

-5/(x^2)

400
f(x) = sin3 4x Find f'(x)
12sin2 4x cos 4x
400

x3 - 3x2y + 2xy2 = 12

y' = (3x2 - 6xy + 2y2)/(3x2 - 4xy)