Find the Derivative - d/dx e^(9x)

Problem

d(e(9*x))/d(x)

Solution

1. Identify the rule needed for the derivative of an exponential function with a composite exponent, which is the chain rule.

2. Apply the formula for the derivative of eu where u=9*x

3. Differentiate the inner function u=9*x with respect to x which results in 9

4. Multiply the derivative of the outer function by the derivative of the inner function.

Final Answer

d(e(9*x))/d(x)=9*e(9*x)

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