Find the Derivative - d/dx e^(-18x)

Problem

d(e(−18*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=−18*x

3. Differentiate the inner function u=−18*x with respect to x which results in −18

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

Final Answer

d(e(−18*x))/d(x)=−18*e(−18*x)

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