Finding Derivatives using rules

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

When we "take the derivative" of a function what are we finding?

Back

The slope of the tangent line

Front

Find the derivative f(x) = xe^x.

Back

f'(x) = e^x + xe^x

Front

Back

Front

Back

Front

What is the power rule for derivatives?

Back

If f(x) = x^n, then f'(x) = nx^(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 e^x?

Back

The derivative of e^x is e^x.