Compute the indicated derivative using the chain rule. $y = 7 x + 10 ; \frac { \mathrm { d } x } { \mathrm {~d} y }$
A) $\frac { 1 } { 10 }$
B) $- \frac { 7 } { 10 }$
C) $\frac { 1 } { 7 }$
D) 7
E) -10

Question

Compute the indicated derivative using the chain rule.  $y = 7 x + 10 ; \frac { \mathrm { d } x } { \mathrm {~d} y }$  
A) $\frac { 1 } { 10 }$
B)  $- \frac { 7 } { 10 }$
C) $\frac { 1 } { 7 }$
D) 7
E) -10

Quizplus · Accepted Answer

The derivative of $y$ with respect to $x$ is the reciprocal of the derivative of $x$ with respect to $y$. Since $y = 7x + 10$, $\frac{dy}{dx} = 7$, thus $\frac{dx}{dy} = \frac{1}{7}$.

Compute the Indicated Derivative Using the Chain Rule y=7x+10;dx dyy = 7 x + 10 ; \frac { \mathrm { d } x } { \mathrm {~d} y }y=7x+10; dydx​

Compute the Indicated Derivative Using the Chain Rule $y = 7 x + 10 ; \frac { \mathrm { d } x } { \mathrm {~d} y }$