Question4. Given $y=5 e^{3 x}+\sin x$. Find $\frac{d y}{d x}$ a. $5 e^{3 x}+\cos x$. b. $15 e^{\frac{d x}{d x}}-\cos x$. c. $15 e^{3 x}+\cos x$. d. $2.666 e^{12}-\cos x$

Studdy Solution
Combine the derivatives from STEP_3 and STEP_4.
$$\frac{d y}{d x} = 15 e^{3 x} + \cos x$$
Solution: The correct answer is
$$\boxed{15 e^{3 x} + \cos x}$$
Hence, the correct option is (c).