Question

Производная функция
f(x)=x+6/COSx

Answer 1

$f(x) = \frac{x + 6}{ \cos(x) } \\ f \: '(x) = \frac{ \cos(x) \times (x + 6)'- ( \cos(x))'\times (x + 6) }{ \cos(x) {}^{2} } \:$

$f \: '(x) = \frac{ 1 \times \cos(x) - ( - \sin(x) \times (x + 6)) }{ \cos(x) {}^{2} } \:$

$f'(x) = \frac{ \cos(x) + 6 \sin(x) + \sin(x) \times x }{ { \cos(x) }^{2} }$