Question

Найдите производные функций

f(x)=(3x^15+6x^12-8x)^10

Answer 1

$f(x)=(3x^{15}+6x^{12}-8x)^{10}$

$f'(x)=10(3x^{15}+6x^{12}-8x)^9\cdot(3x^{15}+6x^{12}-8x)'=$

$=10(3x^{15}+6x^{12}-8x)^9\cdot(3\cdot15x^{14}+6\cdot12x^{11}-8)=$

$=10(3x^{15}+6x^{12}-8x)^9(45x^{14}+72x^{11}-8)$