Practice Flashcard on Derivatives

Front

What is the derivative of a constant?

Back

The derivative of a constant is 0.

Front

What is the power rule for derivatives?

Back

If y = x^n, then the derivative y' = n*x^(n-1).

Front

What is the product rule for derivatives?

Back

If y = u*v, then y' = u'v + uv'.

Front

What is the quotient rule for derivatives?

Back

If y = u/v, then y' = (u'v - uv')/v^2.

Front

What is the chain rule for derivatives?

Back

If y = f(g(x)), then y' = f'(g(x)) * g'(x).

Front

Find the derivative of y = x^3 + 2x^2 - 5.

Back

y' = 3x^2 + 4x.

Front

Find the derivative of y = e^x.

Back

y' = e^x.

Front

Find the derivative of y = sin(x).

Back

y' = cos(x).

Front

Find the derivative of y = cos(x).

Back

y' = -sin(x).

Front

What is the derivative of y = ln(x)?

Back

y' = 1/x.