AP Calculus Midterm Review

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the derivative of tan(x)?

Back

sec²(x)

Front

Differentiate f(x) =(2/x⁵) - 5.

Back

-10x⁻⁶

Front

Find the derivative of f(x) = x⁴ cos(x).

Back

x⁴ cos(x) + 4x³ sin(x)

Front

Find the second derivative of the function: f(x) = 2x - 5x⁶.

Back

f ''(x) = -150x⁴

Front

What is the power rule for differentiation?

Back

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

Front

What is the product rule for differentiation?

Back

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

Front

What is the quotient rule for differentiation?

Back

If u(x) and v(x) are functions, then (u/v)' = (u'v - uv')/v².

Front

What is the chain rule for differentiation?

Back

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

Front

What is the derivative of e^x?

Back

e^x