find dy/dx if y = e^x sinx.

Let y = e^{x} \sin x \Rightarrow \frac{dy}{dx} = e^{x} \times \frac{d}{dx} (\sin x) + \sin x \times \frac{d}{dx} (e^{x}) \Rightarrow \frac{dy}{dx} = e^{x} \cos x + \sin x \times e^{x} \Rightarrow \frac{dy}{dx} = e^{x} (\sin x + \cos x)

Aakash EduTech Pvt. Ltd.

What are you looking for?