Compute the indicated derivative using the chain rule. $y = 7 x - 6$ ; $\frac { \mathrm { d } x } { \mathrm {~d} y }$
A) $\frac { 7 } { 6 }$
B) 6
C) 7
D) $\frac { 1 } { 6 }$
E) $\frac { 1 } { 7 }$

Question

Compute the indicated derivative using the chain rule.  $y = 7 x - 6$ ; $\frac { \mathrm { d } x } { \mathrm {~d} y }$  
A) $\frac { 7 } { 6 }$
B) 6
C) 7
D) $\frac { 1 } { 6 }$
E) $\frac { 1 } { 7 }$

Quizplus · Accepted Answer

The derivative $\frac { \mathrm { d } x } { \mathrm {~d} y }$ is the reciprocal of the derivative $\frac { \mathrm { d } y } { \mathrm {~d} x }$. Since $\frac { \mathrm { d } y } { \mathrm {~d} x } = 7$, the reciprocal is $\frac { 1 } { 7 }$.

Compute the Indicated Derivative Using the Chain Rule y=7x−6y = 7 x - 6y=7x−6

Compute the Indicated Derivative Using the Chain Rule $y = 7 x - 6$