Question

Kuis ⁽¹⁰⁷⁾
(ln(sec(x)))'' =

Answer 1

Verified answer

Turunan fungsi trigonometri:

f(x) = sec(x)   ⇒   f'(x) = sec(x) tan(x)

f(x) = tan(x)   ⇒   f'(x) = sec²(x)

Jawab:

[tex](In(sec(x)))''\\\\=(\frac{1}{sec(x)} (sec(x))' )'\\\\=(\frac{1}{sec(x)} \:sec(x)\:tan(x) )'\\\\=(tan(x))'\\\\\boxed{=sec^{2}(x) }[/tex]