derivative rules

$$\frac{d}{dx} (\sin x)$$

$$\cos x$$

$$\frac{d}{dx} (\tan x)$$

$$\sec^2 x$$

$$\frac{d}{dx} (\sec x)$$

$$\sec x \cdot \tan x$$

$$\frac{d}{dx} (\cos x)$$

$$-\sin x$$

$$\frac{d}{dx} (\cot x)$$

$$-\csc^2 x$$

$$\frac{d}{dx} (\csc x)$$

$$-\csc x \cdot \cot x$$

$$\frac{d}{dx} (e^x)$$

$$e^x$$

$$\frac{d}{dx} (b^x)$$

$$b^x \cdot \ln b$$

$$\frac{d}{dx} (\ln x)$$

$$\frac{1}{x}$$

$$\frac{d}{dx} (\log_b x)$$

$$\frac{1}{x \cdot \ln b}$$