Calculus Game

Basic Derivatives

100

What is the derivative of y = 3x² ?

y' = 6x

200

Find the derivative of f(x) = 5

0

300

Find the derivative of f(x) = 6x³ + x - 2

18x² + 1

400

Find the derivative of f(x) = -x³+4x²-6x+5

-3x²+8x-6

500

Find the derivative of f(t)=4t^-1-(1/6t^-3)+8t^-5

f(t')= -4t^-2+(1/2t^-4)-40t^-6

Product and Quotient Rule

100

Find the derivative of f(x)=x+1/sq root(x)

x-1/2x sq root(x)

200

f(x) = (3x - 2x²)(5 + 4x)

-24x² + 4x + 15

300

Find the derivative of y = (5x - 2)/(x² + 1)

(-5x² + 4x + 5)/(x² + 1)²

400

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

(2x - 5)/(2x^3/2)

500

Find the derivative using the product rule of (4-2x^-5)(-2x⁵)

-40x⁴

Chain Rule

100

Find y' if y = (3x - 9)⁴

12(3x - 9)³

200

Find the derivative of f(x)=(3x2–4x+5)8

8(3x2–4x+5)7⋅(6x−4)

300

Find y' if y = (9x² + 4)^1/3

(6x)/(9x² + 4)^2/3

400

f(x) = (3x⁴-4)⁴(5x⁵+2)

x³(3x⁴-4)³(315x⁵-100x+96)

500

Use chain rule to find thr derivative at x=3 of (x)/(1-x)²

3/4