Find the Derivative - d/dx e^(-x^3)

Problem

d(e(−x3))/d(x)

Solution

1. Identify the outer function and the inner function to apply the Chain Rule. The outer function is eu and the inner function is u=−x3

2. Apply the Chain Rule, which states that d(eu)/d(x)=eu⋅d(u)/d(x)

3. Differentiate the inner function −x3 using the Power Rule, which results in −3*x2

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

5. Simplify the expression by rearranging the terms.

Final Answer

d(e(−x3))/d(x)=−3*x2*e(−x3)

Want more problems? Check here!