Calc-u-list

This is for both semesters of Calc AB. You have to memorize it, okay? I believe in you.

How to find a derivative using limits

Derivative of a constant (constant rule)

Derivative of a linear function (mx)

Derivative of xⁿ (power rule)

Derivative of e^x

Derivative of a product (product rule)

Derivative of a quotient (quotient rule)

Derivative of sin(x)

Derivative of cos(x)

Derivative of tan(x)

Derivative of csc(x)

Derivative of sec(x)

Derivative of cot(x)

Chain rule

Derivative of a^x

Derivative of ln(x)

Derivative of [sin^-1(x)]

Derivative of [cos^-1(x)]

Derivative of [tan^-1(x)]

First Fundamental Theorem of Calculus

Second Fundamental Theorem of Calculus

Antiderivative of a𝙙𝙭

Antiderivative of xⁿ𝙙𝙭 (x ≠ -1)

Antiderivative of eˣ𝙙𝙭

Antiderivative of x⁻¹𝙙𝙭

Antiderivative of sin(x)𝙙𝙭

Antiderivative of cos(x)𝙙𝙭

Antiderivative of [1/(x² + 1)]𝙙𝙭

Antiderivative of [1/(√(1 - x²)]𝙙𝙭

Antiderivative of sec²(x)𝙙𝙭

Antiderivative of sec(x)tan(x)𝙙𝙭

Antiderivative of csc(x)cot(x)𝙙𝙭