Question

Найти производные заданных функций
а) sgrt(2x-3)
б)1-x^3/1+x^3

Answer 1

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

y'=($\frac{1- x^{3} }{1+ x^{3} }$)'=$\frac{(1- x^{3} )'*(1+ x^{3}) -(1- x^{3} )*(1+ x^{3} )'}{ (1+ x^{3} )^{2} }$=$\frac{-6 x^{2} }{(1+ x^{3}) ^{2} }$