Find the Derivative - d/dt e^(4t)

Problem

d(e(4*t))/d(t)

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=4*t

3. Differentiate the inner function u=4*t with respect to t which results in 4

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

Final Answer

d(e(4*t))/d(t)=4*e(4*t)

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