Question

найти производную заданной функции y=tg√5х²+2 y=(sinх)5

Answer 1

$1)\; \; y=tg\sqrt{5x^2+2}\\\\y'=\frac{1}{cos^2\sqrt{5x^2+2}}\cdot \frac{1}{2\sqrt{5x^2+2}}\cdot 10x=\frac{5x}{\sqrt{5x^2+2}\, \cdot \, cos^2\sqrt{5x^2+2}} \\\\\\2)\; \; y=(sinx)^5\\\\y'=5\, (sinx)^4\cdot cosx=5\, sin^4x\cdot cosx$