Question

Let $Y=exp(a+bX)$, where a and b are constants. Calculate $\frac{dX}{dY}$​.

• A. $exp(a+δX)$
• B. $a⋅exp(a+δX)$
• C. $b⋅exp(a+δX)$
• D. $(a+b)⋅exp(a+δX)$

Answer 1

The Correct Option is C

To find $\frac{dX}{dY}$​, we apply the chain rule to $Y=exp(a+bX)$: 

$\frac{dX}{dY}​=b⋅exp(a+bX)$
Thus, the correct answer is (c).