Question

Помогите найти производную: y=x^3sin2x Y=x^6\4x+5

Answer 1

$1)\; \; y=x^3\cdot sin2x\\\\y'=3x^2\cdot sin2x+x^3\cdot 2cos2x\\\\2)\; \; y= \frac{x^6}{4x+5} \\\\y'= \frac{6x^5\cdot (4x+5)-x^6\cdot 4}{(4x+5)^2} = \frac{20x^6+30x^5}{(4x+5)^2}= \frac{10x^5\cdot (2x+3)}{(4x+5)^2}$