Power Rule - Derivatives

to steal it

to find the derivative of a function

to find the integral of a function

to draw a graph

being different

taking the derivative of a function

find the average velocity

finding displacement

product rule

chain rule

power rule

quotient rule

x

$$x^2$$

$$2x^2$$

2x

to find the limit

to find the graph

to find the derivative

to find the integral

to find the limit

to find the graph

to find the derivative

to find the integral

$$f'\left(x\right)\ =\ 20$$

$$f'\left(x\right)\ =\ 20x$$

$$f'\left(x\right)\ =\ 20x^{19}$$

$$f'\left(x\right)=19x^{19}$$

$$f'\left(x\right)\ =\ \frac{1}{2}x^{-\frac{1}{2}\ }=\ \frac{1}{\sqrt[]{x}}$$

$$f'\left(x\right)\ =\ \frac{1}{2}x^{\frac{1}{2}}$$ = $$\frac{\sqrt[]{x}}{2}$$

$$f'\left(x\right)\ =\ -\frac{1}{2}x^{-\frac{1}{2}}=-\frac{1}{\sqrt[]{x}}$$

$$f'\left(x\right)\ =\ -2x^{-2}$$

$$f'\left(x\right)\ =\ -2x^{-1}$$

$$f'\left(x\right)\ =\ -2x^{-3}$$

$$f'\left(x\right)\ =\ 2\ x^{-3}$$

$$f'\left(x\right)\ =\ 3x^3$$

$$f'\left(x\right)\ =\ 12x^3$$

$$f'\left(x\right)\ =\ 4x^3$$

$$f'\left(x\right)\ 3\ +\ 4x^3$$