Derivative Rules Flashcard

Front

What is the derivative of e^x?

Back

The derivative of e^x is e^x.

Front

What is the Chain Rule in calculus?

Back

The Chain Rule states that the derivative of a composite function f(g(x)) is f'(g(x)) * g'(x).

Front

What is the derivative of a constant, C?

Back

The derivative of a constant C is 0.

Front

What is the Quotient Rule?

Back

The Quotient Rule states that the derivative of a function u/v is (vu' - uv')/v^2.

Front

What is the Power Rule for derivatives?

Back

The Power Rule states that the derivative of x^n is n*x^(n-1), where n is a constant.

Front

What is the Product Rule?

Back

The Product Rule states that the derivative of two functions u and v is u'v + uv'.

Front

What is the derivative of sin(x)?

Back

The derivative of sin(x) is cos(x).

Front

What is the derivative of cos(x)?

Back

The derivative of cos(x) is -sin(x).

Front

What is the derivative of tan(x)?

Back

The derivative of tan(x) is sec^2(x).

Front

What is the derivative of ln(x)?

Back

The derivative of ln(x) is 1/x.