Derivative Practice Calculus

Front

What is the derivative of f(x) = 1/x^2?

Back

-2x^-3

Front

What is the derivative of a constant function f(x) = 7?

Back

0

Front

Find the derivative of f(x) = x^4 + 4x^3 - 2x^2.

Back

4x^3 + 12x^2 - 4x

Front

What is the derivative of f(x) = -4x?

Back

-4

Front

Find the derivative of f(x) = 5x^2 - 3x + 7.

Back

10x - 3

Front

What is the power rule for differentiation?

Back

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

Front

What is the product rule for differentiation?

Back

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

Front

What is the quotient rule for differentiation?

Back

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

Front

What is the derivative of f(x) = sin(x)?

Back

f'(x) = cos(x).

Front

What is the derivative of f(x) = cos(x)?

Back

f'(x) = -sin(x).