AP Calculus Unit 3 Review

Front

What is the derivative of the function y = (cos x)^4?

Back

y' = 4(cos x)^3 * (-sin x)

Front

How do you find the derivative of a function at a specific value?

Back

Substitute the value into the derivative function after finding the derivative.

Front

What is the derivative of y = ln(2x)?

Back

dy/dx = 1/x

Front

What does taking the derivative of a function represent?

Back

It represents the slope of the tangent line to the function at a given point.

Front

What is the derivative of y = e^(5x) + 1?

Back

y' = 5e^(5x)

Front

What is the power rule for differentiation?

Back

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

Front

What is the chain rule in differentiation?

Back

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

Front

What is the product rule for differentiation?

Back

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

Front

What is the quotient rule for differentiation?

Back

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

Front

What is the derivative of a constant?

Back

The derivative of a constant is 0.