Question

Kak mau nanya tentang turunan
turunan dari
sin^2 x
cos^2 x
tan^2 x
cotan^2 x
cosec^2 x
sec^2 x
ngg pake jalan ngg apa

Answer 1

Verified answer

Turunan Fungsi trigonometri.

d/dx [f(x)]ⁿ = n [f(x)]ⁿ⁻¹ f'(x)

d/dx (sin² x)
= 2 sin x cos x = sin 2x

d/dx (cos² x)
= 2 cos x (-sin x) = -sin 2x

d/dx (tan² x)
= 2 tan x sec² x
= 2 tan x / cos² x
= 2 (sin x / cos x) / cos² x = 2 sin x / cos³ x

d/dx (cot² x)
= 2 cot x (-csc² x)
= -2 (cos x / sin x) (1 / sin² x) = -2 cos x / sin³ x

d/dx (csc² x)
= 2 csc x (-csc x cot x)
= -2 (1 / sin² x) (cos x / sin x) = -2 cos x / sin³ x

d/dx (sec² x)
= 2 sec x (sec x tan x)
= 2 (1 / cos² x) (sin x / cos x) = 2 sin x / cos³ x

Answer 2

Verified answer

Materi Turunan Trigonometri

Disertakan rumus umum turunan trigonometri berpangkat <<