Differentiable function

Question

The differentiable function f satisfies f(3)=7, f’(3)=5, f(5)=3, f’(5)=10. For function g is given by g(x)=f(sqrtx^2+16) the derivative g’(3) is equal to

Answer 1

g(x) = f(√(x²+16))

g'(x) = f'(√(x²+16))(x/(√(x²+16))

g'(3) = f'(√(9+16))(3/(√(9+16))) = f'(5)(3/5) = 10(3/5) = 6