Use implicit differentiation to find dy/dx.
-$y \sqrt { x + 1 } = 4$
A) $- \frac { y } { 2 ( x + 1 ) }$
B) $- \frac { 2 y } { x + 1 }$
C) $\frac { 2 y } { x + 1 }$
D) $\frac { y } { 2 ( x + 1 ) }$

Question

Quizplus · Accepted Answer

Differentiating both sides with respect to x, we get $y' \sqrt{x + 1} + \frac{y}{2\sqrt{x + 1}}(1) = 0$. Solving for $y'$ gives $y' = -\frac{y}{2(x + 1)}$.

Use Implicit Differentiation to Find Dy/dx yx+1=4y \sqrt { x + 1 } = 4yx+1​=4

Use Implicit Differentiation to Find Dy/dx $y \sqrt { x + 1 } = 4$