Question

F(x)=sin²5x
f'(x)=
f'(π/4)=​

Answer 1

Penjelasan dengan langkah-langkah:

f(x) = sin² 5x

f'(x) = 2 sin 5x. cos 5x. 5

f'(x) = 5 sin 10x

f'(π/4) = 5 sin 10(π/4)

f'(π/4) = 5 sin (5π/2)

f'(π/4) = 5 sin (5π/6 + 5π/3)

f'(π/4) = 5 ((sin 5π/6)(cos 5π/3)+(cos 5π/6)(sin 5π/3))

f'(π/4) = 5 ((½)(½) + (-½√3)(-½√3))

f'(π/4) = 5 (¼ + ¾)

f'(π/4) = 5 (1) = 5