Question

Diketahui fungsi f dan g dengan g(x) = f(x^2 + 2) jika g'(1) = 8, maka nilai f'(3) =... (Turunan). Please it's hard.

Answer 1

Turunan dari f(u) => f'(u) . u'
Jadi
g(x) = f(x^2 + 2)
g'(x) . 1 = f'(x^2 + 2) . 2x
g'(x) = 2x . f'(x^2 + 2) ............ Masukan x = 1
g'(1) = 2(1) . f'(1^2 + 2)
8 = 2 . f'(3)
4 = f'(3)