Question

Производная функции f(x)=4sinx-5ctgx

Answer 1

f'(x)=4cosx-5*(-1/sin^2 x)=4cosx+5/(sin^2 x)

Answer 2

$f(x)=4sinx-5ctgx$
$f'(x)=(4sinx-5ctgx)'=(4sinx)'-(5ctgx)'=4cosx-5*(- \frac{1}{sin^2x})$$=4cosx+ \frac{5}{sin^2x}$