Question

Производная функция
f(x)=x+6/COSx

Answer 1

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

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

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