AP Calculus BC

Quadratic Formula

Inverse sin derivative

Inverse cos derivative

Inverse tan derivative

Inverse csc derivative

Inverse sec derivative

Inverse cot derivative

Linear Approximation

f(x) ≈ f(a) + f’(a) (x-a)

General Equation of Tangent Line

y = f(a) +f’(a) (x-a)

Newton’s Method

Exponential Growth

y = y₀e^kt

Exponential Decay

y = y₀e^-kt

Derivative of y = a^u

General equation of a Cardioid

a + a cosθ

a - a cosθ

a - a sinθ

a + a sinθ

Limacon without inner loop

Limacon with inner loop

Leminscate

Rose with three petals

Rose with four petals

Logarithm notation