$\text { Use implicit differentiation to find } \frac { d y } { d x } \text { at the point } ( 7,1 ) \text {. }$ $4 x y + 5 \ln y = 28$
A) $\frac { 8 } { 11 }$
B) $- \frac { 4 } { 33 }$
C) $\frac { 4 } { 33 }$
D) $- \frac { 8 } { 11 }$
E) $\frac { 32 } { 33 }$

Question

Quizplus · Accepted Answer

Implicitly differentiating $4xy + 5\ln y = 28$ with respect to $x$ gives $4y + 4x\frac{dy}{dx} + \frac{5}{y}\frac{dy}{dx} = 0$. Solving for $\frac{dy}{dx}$ and substituting $x = 7$ and $y = 1$ yields $-\frac{4}{33}$.

Use implicit differentiation to find dydx at the point (7,1). \text { Use implicit differentiation to find } \frac { d y } { d x } \text { at the point } ( 7,1 ) \text {. } Use implicit differentiation to find dxdy​ at the point (7,1).

$\text { Use implicit differentiation to find } \frac { d y } { d x } \text { at the point } ( 7,1 ) \text {. }$