O Given that f(x)=\frac{x^{2} e^{4 x}}{\sin x+\cos (2-3 x)} \text { find } f^{\prime}(x) \text {. No simplification is necessary. } (b) Suppose that functions F(x) and G(x)satisfy the following

properties: F(3) = 2, G(3) = 4, G(0) = 3,%3D F'(3) = -1, G'(3) = 0, G'(0) = 2. If T(x) = F(G(x)) and U(x)= In(F(x)), find T'(0)and U'(3).