Derivative Rules Flashcard

Front

What is the derivative of e^x?

Back

e^x

Front

What is the derivative of x^n?

Back

nx^(n-1)

Front

What is the derivative of a^x?

Back

a^x ln(a)

Front

What is the derivative of cot(x)?

Back

-csc^2(x)

Front

What is the derivative of ln(x)?

Back

1/x

Front

What is the Power Rule for derivatives?

Back

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

Front

What is the Chain Rule?

Back

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

Front

What is the Product Rule?

Back

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

Front

What is the Quotient Rule?

Back

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

Front

What is the derivative of sin(x)?

Back

cos(x)