Question

f(x)=6 cos^5(3-1/12x^4)
Найти f'(x)

Answer 1

$F(x)=6cos^5(3- frac{1}{12}x^4 ) \ \ F'(x)=6*5cos^4(3- frac{1}{12}x^4 )*(-sin(3- frac{1}{12}x^4 ))*(- frac{1}{12}*4x^3 )= \ \ =10x^3cos^4(3- frac{1}{12}x^4 )sin(3- frac{1}{12}x^4 )= \ \ =5x^3cos^3(3- frac{1}{12}x^4 )*2cos(3- frac{1}{12}x^4 )sin(3- frac{1}{12}x^4 )= \ \ =5x^3cos^3(3- frac{1}{12}x^4 )sin(2*(3- frac{1}{12} x^4))= \ \ =5x^3cos^3(3- frac{1}{12}x^4 )sin(6- frac{1}{6} x^4)$