Question

Найдите производные функций​

Answer 1

$y=frac{sqrt{x}+ x+1}{x^{4}+3 }\\y'=frac{(sqrt{x}+x+1)'*(x^{4}+3)-(sqrt{x}+x+1)*(x^{4}+3)'}{(x^{4}+3)^{2}}=frac{(frac{1}{2sqrt{x}}+1)(x^{4}+3)-(sqrt{x}+x+1)*4x^{3}}{(x^{4}+3)^{2}}$

$2)y=sqrt{2x^{2}-x+5 }\\y'=frac{1}{2sqrt{2x^{2}-x+5} }*(2x^{2}-x+5)'=frac{1}{2sqrt{2x^{2}-x+5 } }*(4x-1)=frac{4x-1}{2sqrt{2x^{2} -x+5} }$