Find the Derivative - d/dx y=e^(-6x)

Problem

d()/d(x)*e(−6*x)

Solution

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

2. Apply the formula for the derivative of eu which states that d(eu)/d(x)=eu⋅d(u)/d(x)

3. Define the inner function as u=−6*x

4. Differentiate the inner function to find d(u)/d(x)=−6

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

Final Answer

d(e(−6*x))/d(x)=−6*e(−6*x)

Want more problems? Check here!