Contoh Soal Tentang Turunan g(x) = 2x cos (2x – π/4)

Contoh soal turunan: tentukan turunan pertama dari g(x) = 2x cos (2x – π/4)

Jawaban

g(x) = 2x cos (2x – π/4)

misalkan

u = 2x

u’ = 2

v = cos (2x – π/4)

v’ = -2 sin (2x – π/4)

maka

g'(x) = u’v + v’u

g'(x) = 2 cos (2x – π/4) – 4x sin (2x – π/4)