f(x)=cos(sin5x) naydite proizvodnuyu ???

Question

f(x)=cos(sin5x) naydite proizvodnuyu ???

Answer 1

f(x)=cos(sin5x)
f'(x) = -sin(sin5x) * (sin5x)' = -sin(sin5x)*cos5x*5 = -5cos5x*sin(sin5x)