Calculus Jeoprady

Rules

100

derivative of (c) = 0

What is the Constant Rule?

200

derivative xⁿ = nx^n-1

What is the Power Rule?

300

derivative [f(x)g(x)] = f(x)g'(x) + g(x)f'(x)

What is the Product Rule?

400

derivative f[g(x)] = f'[g(x)]g'(x)

What is Chain Rule?

500

low d high - high d low all over low²

What is Quotient Rule?

Derivatives

100

derivative of cos(x)

What is -sin(x)?

200

derivative of tan(x)

What is sec²(x)?

300

the derivative of 4t⁵ + 3t² + 7t + 52

What is 20t⁴ + 6t + 7?

400

find the second derivative of 5x⁴-6x³-27x+4

What is 60x²-36x?

500

f(x) = x² + 4

g(x) = 6x

find the derivative of f[g(x)]

What is 72x²?

Limits

100

f(-2) = ?

What is 0?

200

lim f(x) = ?

x → -5

What is DNE?

300

lim f(x) = ?

x → -5⁺

What is -3?

400

lim f(x) = ?

x → -2

What is 3.5?

500

lim f(x) = ?

x → -1

What is DNE?