Basic Derivatives

Front

What is the derivative of a constant function, C?

Back

0

Front

What is the derivative of cot(x)?

Back

-csc^2(x)

Front

What is the derivative of 1/x^2?

Back

-2/x^3

Front

What is the derivative of ln(x)?

Back

1/x

Front

What is the derivative of e^x?

Back

e^x

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

What is the chain rule for derivatives?

Back

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

Front

What is the derivative of sin(x)?

Back

cos(x)