дифференцируемой

интегрируемой

вычисляемой

(U+V)'=U'+V'

(U+V)'=U'-V'

(U+V)'=U+V

(U∙V)'=U' V+UV'

(U∙V)'=U' V-UV'

(U∙V)'=U' ∙ V'

$\left(\frac{U}{V}\right)'=\frac{U'V-UV'}{V^2}$

$\left(\frac{U}{V}\right)'=\frac{U'}{V'}$

$\left(\frac{U}{V}\right)'=\frac{UV'-UV'}{V^2}$

$$tg\ \alpha\ =f'\left(x_0\right)$$  

$$tg\ \alpha\ =f\left(x\right)$$  

$$tg\ \alpha\ =f'\left(x\right)$$  

$$y=f\left(x_0\right)+f'\left(x_0\right)\cdot\left(x-x_0\right)$$  

$$y=f\left(x\right)+f'\left(x\right)\cdot\left(x-x_0\right)$$  

$$y=f'\left(x\right)+f'\left(x_0\right)\cdot\left(x-x_0\right)$$  

$$V\left(t\right)=S'\left(t\right)$$  

$$V\left(t\right)=S\left(t\right)$$  

$$S\left(t\right)=V'\left(t\right)$$  

$$f'\left(x\right)=6x^5$$  

$$f'\left(x\right)=5x^6$$  

$$f'\left(x\right)=6x$$  

$$f'\left(x\right)=-5$$  

$$f'\left(x\right)=7$$  

$$f'\left(x\right)=5$$  

$$C'=0$$  

$$C'=1$$  

$$C'=-1$$  

$$y'=\frac{1}{2\ \sqrt[]{x}}$$  

$$y'=\frac{1}{\sqrt[]{x}}$$  

$$y'=2\ \sqrt[]{x}$$  

$$y'=k$$  

$$y'=b$$  

$$y'=k+b$$  

$$y'=n\cdot x^{n-1}$$  

$$y'=n\cdot x^n$$  

$$y'=x^{n-1}$$