0

1

x

y' = x^n-1

y' = nx^n-1

y' = nxⁿ⁺¹

y' = (n-1)xⁿ

$$\frac{1}{2\sqrt{х}}$$  

$$\sqrt{х}$$  

$$\frac{1}{\sqrt{х}}$$  

- 1

$$C'=0$$  

$$C'=1$$  

$$C'=-1$$  

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

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

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

(U∙V)'=U' V+UV'

(U∙V)'=U' V-UV'

(U∙V)'=U' ∙ V'

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

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

(U+V)'=U+V

$$y'=k$$  

$$y'=b$$  

$$y'=k+b$$  

y' = e^x-1

y' = xe^x-1

y' = e^x

y' = e^x+1

y' = sin x

y' = -sin x

y' = -cos x

y' = 1/sin x

y' = tg x

y' = - tg x

y' = - 1/cos²x

y' = - 1/sin²x

(sin x)'= - cos x

(sin x)'= cos x

(cos x)'= - cos x

(sin x)'= - sin x