Calculus Derivatives

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) = 3sinx - 2cosx

3cosx + 2sinx

500

Find the derivative of f(x)= 19x+tanx-10000000

19+sec²x

Product and Quotient Rule

100

Find the derivative of y = 3x² sin x

3x² cos x + 6x sin 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 of 1/sinx

-cscxcotx

Trig Derivatives

100

d/dx (sinx)

cosx

200

d/dx (cosx)

-sinx

300

d/dx (secx)

secxtanx

400

d/dx (cotx)

-csc²x

500

d/dx (tanx)

sec²x

You should know this

100

The derivative of any constant

0

200

The derivative of x

1

300

The quotient rule

lodehi-hidelo over lolo

400

The product rule

f(x)g'(x)+g(x)f'(x)

500

CALC BFF

y-y₁=m(x-x₁)