Question

Найдите производные функций​

Answer 1

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

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