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

The calculation of \(\frac{dX}{dY}\) involves applying the chain rule to \(Y=exp(a+bX)\). This yields: 

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