Differentiate implicitly to find $\frac { \partial w } { \partial x } \text {, given } x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 7 y w + 2 w ^ { 2 } = 4$
A) $\frac { x } { 4 w - 7 y }$
B) $\frac { 2 x } { 7 w + 2 y }$
C) $\frac { 2 x } { 7 y - 4 w }$
D) $\frac { x } { 7 y - 2 w }$
E) $\frac { 2 x } { 7 w + 4 y }$

Question

Differentiate implicitly to find $\frac { \partial w } { \partial x } \text {, given } x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 7 y w + 2 w ^ { 2 } = 4$ 
A) $\frac { x } { 4 w - 7 y }$
B) $\frac { 2 x } { 7 w + 2 y }$
C) $\frac { 2 x } { 7 y - 4 w }$
D) $\frac { x } { 7 y - 2 w }$
E) $\frac { 2 x } { 7 w + 4 y }$

Quizplus · Accepted Answer

Implicit differentiation of the given equation with respect to $x$ and solving for $\frac{\partial w}{\partial x}$ yields $\frac{2x}{7y - 4w}$.

Differentiate Implicitly to Find ∂w∂x, given x2+y2+z2−7yw+2w2=4\frac { \partial w } { \partial x } \text {, given } x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 7 y w + 2 w ^ { 2 } = 4∂x∂w​, given x2+y2+z2−7yw+2w2=4

Differentiate Implicitly to Find $\frac { \partial w } { \partial x } \text {, given } x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 7 y w + 2 w ^ { 2 } = 4$