Partial Derivative
Product and Quotient Rule
Chain Rule
Implicit Differentiation
100

f(x,y)=y3x2 

Calculate ∂f/∂x

2y3x

100

Find the derivative of 

f(x) = (3x - 2x2)(5 + 4x)

-24x2 + 4x + 15

100

Find derivative of 

f(x) = (3x - 9)4

12(3x - 9)3

100

Find the derivative implicitly

x2 + y2 = 30

- x/y

200

f(x, y, z) = x4 − 3xyz

calculate ∂f/∂x, ∂f/∂y, and ∂f/∂z

∂f/∂x = 4x3 − 3yz

∂f/∂y = −3xz

∂f/∂z = −3xy

200

Find the derivative of

 y = (5x - 2)/(x2 + 1)

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

200

Find derivative of (6x2+7x)4

4(6x2+7x)3(12x+7)

200

Find the derivative implicitly 

(y - 2)2 = 4x - 12

2/(y - 2)

300

f(x, y) = (4x+9)(8x+5y)

calculate ∂f/∂x and ∂f/∂y

∂f/∂x = 64x +20y +72

∂f/∂y =20x +45

300
Find the derivative of f(x) = (2x + 5)/(x)1/2
(2x - 5)/(2x3/2)
300

Find derivative of 

f(x)=1/(3x-2)

-3/(3x-2)2

300

x3 - 3x2y + 2xy2 = 12

(-3x2 + 6xy - 2y2)/(-3x2 + 4xy)


M
e
n
u