Question

Giúp ạ

Answer 1

a.f(x)=x.(2x^3-x^2+4x-1) =>f(x)=2x^4-x^3+4x^2-x f'(x)=(2x^4-x^3+4x^2-x)’ => f'(x)= 8x^3-3x^2-8x-1  

Answer 2

a.

\(f\left(x\right)=2x^4-x^3+4x^2-x\)

\(\Rightarrow f'\left(x\right)=8x^3-3x^2+8x-1\)

b.

\(f'\left(x\right)=\left(2x\right)'.sinx+2x.\left(sinx\right)'=2sinx+2x.cosx\)

c.

\(f\left(x\right)=3x+2-\dfrac{5}{x}\Rightarrow f'\left(x\right)=3+\dfrac{5}{x^2}=\dfrac{3x^2+5}{x^2}\)