Given f″(x)=−4sin(2x) and f′(0)=3 and f(0)=−6.

Question

Find f(π/6)

Answer 1

f"(x) = -4sin(2x)
f'(x) = 2cos(2x) + c1
f(x) = sin(2x) + c1*x + c2

Now plug in the initial conditions to find c1 and c2