Question

Найдите производную функции:
а)f(x)=(x^3-2x^2+3)^17
б)f(x)=sqrt 4x^2+5
в)f(x)=sqrt 1-x^4+1/x^2+3
г)f(x)=(3-x^3)^5+ sqrt2x-7

Answer 1

б)

$f(x)= sqrt{4x^2+5} \ \ </p><p>f'(x)= frac{1}{2 sqrt{4x^2+5} }*(8x)= frac{4x}{ sqrt{4x^2+5} }$

г)

$f(x)=(3-x^3)^5+ sqrt{2x-7} \ \ </p><p>f'(x)=5(3-x^3)^4*(-3x^2)+ frac{1}{2 sqrt{2x-7} }*2= \ \ </p><p> =-15x^2(3-x^3)^4 + frac{1}{ sqrt{2x-7} }$