(A) To find the derivative of $f(x) = \sin 2x$,we use the chain rule of differentiation. Let $u = 2x$,then $f(x) = \sin u$. By the chain rule,$\frac{d

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) To find the derivative of $f(x) = \sin 2x$,we use the chain rule of differentiation. Let $u = 2x$,then $f(x) = \sin u$. By the chain rule,$\frac{df}{dx} = \frac{df}{du} \cdot \frac{du}{dx}$. $\frac{df}{du} = \cos u = \cos 2x$. $\frac{du}{dx} = \frac{d}{dx}(2x) = 2$. Therefore,$\frac{df}{dx} = \cos 2x \cdot 2 = 2 \cos 2x$.