certain differentiable function f has a tangent line y = π2 x − π2 at the point on its graph where x = 1. If g is another function defined by g(x) = sin(3f(x)) + (f(x))2, what is g′(1

Answer 1

f'(1) = π² and f(1) = 0; g'(x) = cos(3f(x))·3f'(x) + 2(f(x))·f'(x); g'(1) = cos0·3π² = 3π²