Calculus AB Review

Front

Find the derivative of f(x) = x^4 cos(x) - 4x^3 sin(x)

Back

f'(x) = x^4 cos(x) + 4x^3 sin(x)

Front

Find the derivative of f(x) = x^3 + x^2 + 3

Back

f'(x) = 3x^2 + 2x

Front

d/dx (sin^2(x)) = ?

Back

2(sin(x))(cos(x))

Front

What is the derivative of cos(x)?

Back

-sin(x)

Front

Find h'(3) if h(x) = x^2 - 3x + 4

Back

h'(3) = 1

Front

What is the Power Rule for derivatives?

Back

If f(x) = x^n, then f'(x) = n*x^(n-1).

Front

What is the Product Rule for derivatives?

Back

If u(x) and v(x) are functions, then (uv)' = u'v + uv'.

Front

What is the Quotient Rule for derivatives?

Back

If u(x) and v(x) are functions, then (u/v)' = (u'v - uv')/v^2.

Front

Find the derivative of f(x) = e^x.

Back

f'(x) = e^x.

Front

Find the derivative of f(x) = ln(x).

Back

f'(x) = 1/x.