?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Easy

Implicit Differentiation with Simple Trigonometry Expressions

APCALC-YQ47QL

Find $\cfrac{dy}{dx}$ at the point $\left( \pi, \cfrac{\pi}{4} \right)$ when $\sin x+ \sin y=\tan x+\frac{\sqrt{2}}{2}$.

A

$-2 \sqrt{2}$

B

$0$

C

$\cfrac{\sqrt{2}}{2}$

D

$2\sqrt{2}$