Question

Berikan contoh soal turunan trigono metri

Answer 1

Jawaban:

Soal No.1

Carilah turunan f'(x) dari fungsi-fungsi trigonometri dibawah ini :

a. f(x) = 4 sin x

b. f(x) = 3 cos x

c. f(x) = -2 cos x

d. f(x) = 2 sec x

e. f(x) = 2 csc x

Pembahasan

a. f(x) = 4 sin x → f'(x) = 4 cos x

b. f(x) = 3 cos x → f'(x) = -3 sin x

c. f(x) = -2 cos x → f'(x) = -2 (-sin x) → f'(x) = 2 sin x

d. f(x) = 2 sec x → f'(x) = 2 sec x . tan x

e. f(x) = 2 csc x → f'(x) = 2 (-csc x . cos x) → f'(x) = -2 csc x . cot x