Math Formulas
Common Derivatives Formulas
- $\dfrac{d}{dx} ~ (\text{Constant}) = 0 $
- $\dfrac{d}{dx} ~(x) = 0 $
- $\dfrac{d}{dx} ~(x^n) = n \cdot x^{n-1}$
- $\dfrac{d}{dx}~ (\sqrt x) = \dfrac{1}{2\sqrt{x}}$
- $\dfrac{d}{dx} ~(e^x) = e^x$
- $\dfrac{d}{dx}~ (a^x) = a^x \cdot \ln a $
- $\dfrac{d}{dx}~ (\ln x) = \dfrac{1}{x}~$, $x > 0$
- $\dfrac{d}{dx} ~(\ln |x|) = \dfrac{1}{x}~$, $x \ne 0 $
- $\dfrac{d}{dx} ~\left( \log_a x \right) = \dfrac{1}{x\cdot \ln a}~$ , $x > 0$