$$5x^4+\frac{1}{x^6}$$  

$$x^4+\frac{5}{5x^5}$$  

$$5x^4-\frac{1}{x^6}$$  

$$\frac{15}{\left(5x+1\right)^4}$$  

$$-\frac{15}{\left(5x+1\right)^4}$$  

$$-\frac{1}{\left(5x+1\right)^4}$$  

$$\left(1-2x\right)^3$$  

$$4\left(1+x-x^2\right)^3$$  

$$4\left(1+x-x^2\right)^3\left(1-2x\right)$$  

$$2x^2$$  

$$6x^3$$  

$$6x^2$$  

$$2x^2$$  

u'v'

u'v'-uv

u'v-uv'

u'v+uv'

$$2-\frac{1}{2\sqrt{x}}$$  

$$2x^2-\sqrt{x}$$  

$$-\frac{2}{\sqrt{x}}$$  

$$2+\frac{1}{2\sqrt{x}}$$  

$$\frac{u'v+uv'}{v^2}$$  

$$\frac{uv'-u'v}{v^2}$$  

$$\frac{u'v-uv'}{u^2}$$  

$$\frac{u'v-uv'}{v^2}$$  

1

С

0

2

$$\frac{1}{x^2}$$  

$$-\frac{1}{x^2}$$  

$$-x^2$$  

$$-\frac{1}{x}$$  

$$20x^5-60x^2-\sqrt{7}$$  

$$20x^4-60x^2-\frac{1}{2\sqrt{7}}$$  

$$20x^4-60x$$  

$$20x^4-60x^2$$  

$$3x^2$$  

$$-3x^{-2}$$  

$$-3x^{-4}$$  

$$3x^{-4}$$  

$$f'\left(x\right)=nx^{n-1}$$  

$$f'\left(x\right)=nx^n$$  

$$f'\left(x\right)=nx$$  

f'(x)=sinx

f'(x)=-sinx

f'(x)=cosx

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

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

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