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

Problem

d(e^(−x^3))/d(x)

Solution

1. Identify the outer function and the inner function to apply the Chain Rule. The outer function is e^u and the inner function is u=−x^3

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

3. Differentiate the inner function −x^3 using the Power Rule, which results in −3*x^2

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^(−x^3))/d(x)=−3*x^2*e^(−x^3)

Want more problems? Check here!