Find the Derivative - d/dx 3e^x

Problem

(d(3)*ex)/d(x)

Solution

1. Identify the constant multiple rule, which states that the derivative of a constant times a function is the constant times the derivative of the function.

2. Apply the constant multiple rule by moving the constant 3 outside of the derivative operator.

(d(3)*ex)/d(x)=3d(ex)/d(x)

3. Recall the derivative of the natural exponential function ex which is simply ex

d(ex)/d(x)=ex

4. Multiply the constant 3 by the result of the derivative.

3⋅ex=3*ex

Final Answer

(d(3)*ex)/d(x)=3*ex

Want more problems? Check here!