Find the Derivative - d/dr e^(rx)

Problem

d(e^(r*x))/d(r)

Solution

1. Identify the variable of differentiation, which is r In this context, x is treated as a constant.

2. Apply the chain rule for exponential functions, which states that d(e^u)/d(r)=e^u⋅d(u)/d(r)

3. Differentiate the exponent r*x with respect to r Since x is a constant, (d(r)*x)/d(r)=x

4. Multiply the original exponential function by the derivative of the exponent to find the final result.

Final Answer

d(e^(r*x))/d(r)=x*e^(r*x)

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