49. Diketahui fx=3sin(x)+4cos(x) Berapakah nilai turunan fungsi tersebut pada x=(pi )/(2) a. 0 b. 3 C. -4 d. 1

To find the derivative of the function f(x) = 3sin(x) + 4cos(x) at x = π/2, we first find the derivative of f(x) with respect to x.The derivative of sin(x) is cos(x), and the derivative of cos(x) is -sin(x). Therefore:f'(x) = 3cos(x) - 4sin(x)Now, we substitute x = π/2 into the derivative:f'(π/2) = 3cos(π/2) - 4sin(π/2)Since cos(π/2) = 0 and sin(π/2) = 1:f'(π/2) = 3(0) - 4(1) = -4Therefore, the value of the derivative of the function at x = π/2 is -4.The correct answer is **c. -4**