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

a) [latex]f(x)=(x^3-2x^2+3)^{17} \\ \\ f'(x)=17(x^3-2x^2+3)^{16}*(3x^2-4x)= \\ =(51x^2-68x)(x^3-2x^2+3)[/latex] б) [latex]f(x)= \sqrt{4x^2+5} \\ \\ f'(x)= \frac{1}{2 \sqrt{4x^2+5} }*(8x)= \frac{4x}{ \sqrt{4x^2+5} } [/latex] г) [latex]f(x)=(3-x^3)^5+ \sqrt{2x-7} \\ \\ f'(x)=5(3-x^3)^4*(-3x^2)+ \frac{1}{2 \sqrt{2x-7} }*2= \\ \\ =-15x^2(3-x^3)^4 + \frac{1}{ \sqrt{2x-7} } [/latex]