Find the Derivative - d/dx e^(10x)

Problem

d(e(10*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=10*x

3. Differentiate the exponent 10*x with respect to x which results in 10

4. Multiply the original exponential function by the derivative of the exponent.

Final Answer

d(e(10*x))/d(x)=10*e(10*x)

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