AP Calc Derivatives

D_x Sin^-1x

$$\frac{1}{\sqrt{1+x^2}}$$

D_x Tan^-1x

$$\frac{1}{1+x^2}$$

D_x Sec^-1x

$$\frac{1}{\left|x\right|\sqrt{x^2-1}}$$

D_x Cos^-1x

$$\frac{-1}{\sqrt{1-x^2}}$$

D_x Csc^-1x

$$\frac{-1}{\left|x\right|\sqrt{x^2-1}}$$

D_x Cot^-1x

$$\frac{-1}{1+x^2}$$

Area of a Circle

πr²

Volume of a Cone

$$\frac13\pi r^2\cdot h$$

Pythagorean Triple Starting w/ 3

3, 4, 5

Pythagorean Triple Starting w/ 8

8, 15, 17

Pythagorean Triple Starting w/ 5

5, 12, 13

Pythagorean Triple Starting w/ 7

7, 24, 25

Surface Area of a Sphere

4\pi r^2\cdot\frac{dr}{\differentialD t}