Find dy.
-$$y = \sin \left( 2 x ^ { 2 } \right)$$
A) $- 4 \cos \left( 2 x ^ { 2 } \right) d x$
B) $4 \cos \left( 2 x ^ { 2 } \right) d x$
C) $4 x \cos \left( 2 x ^ { 2 } \right) d x$
D) $- 4 x \cos \left( 2 x ^ { 2 } \right) d x$

Question

Quizplus · Accepted Answer

Using chain rule, we have
\begin{align*}
\frac{dy}{dx} &= \cos (2x^2)\cdot \frac{d}{dx} (2x^2) \
&= 4x \cos (2x^2) \cdot dx.
\end{align*}
Therefore, the correct choice is (C).

Find Dy - y=sin⁡(2x2)y = \sin \left( 2 x ^ { 2 } \right)y=sin(2x2)

Find Dy
- $y = \sin \left( 2 x ^ { 2 } \right)$