Derivatives of Inverse Trig Functions

d/dx(sin⁻¹x)

$$\frac{1}{\text{√}(1-x^2)}, \text{ for } x \neq \text{±}1$$

d/dx(cos⁻¹x)

$$-\frac{1}{\text{√}(1-x^2)}, \text{ for } x \neq \text{±}1$$

d/dx(tan⁻¹x)

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

d/dx(cot⁻¹x)

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

d/dx(sec⁻¹x)

$$\frac{1}{|x|\text{√}(x^2-1)}, \text{ for } x \neq \text{±}1, 0$$

d/dx(csc⁻¹x)

$$-\frac{1}{|x|\text{√}(x^2-1)}, \text{ for } x \neq \text{±}1, 0$$

Local Linear Approx Equation

Area of a Circle

A=πr²

Circumference of a circle

C=2πr

Volume of a Sphere

V=4/3 πr³

Surface Area of a Sphere

SA=4πr²

Volume of a cylinder

V=πr²h

Volume of a cone

V=1/3 πr²h