Take the derivative of exponential with negative power

The video tutorial explains how to find the derivative of the function y = e^(-x) + 3. It begins with an introduction to the function, followed by a step-by-step process to find its derivative. The instructor emphasizes rewriting the expression and explains the differentiation process, leading to the final result of the derivative. The lesson concludes with a recap of the key points covered.

What is the initial function discussed in the video?

• y = e^(x) + 3

• y = e^(-x) - 3

• y = e^(x) - 3

• y = e^(-x) + 3

What is the first step in finding the derivative of the function?

• Subtract x from the function

• Add 3 to the function

• Rewrite the expression

• Multiply the function by x

What is the derivative of the power in the function?

• 1

• 3

• 0

• -1

What is the final result of the derivative calculation?

• y' = -1

• y' = 3

• y' = 0

• y' = 1

How is the derivative of the function expressed in terms of e?

• Negative e to the power of x plus 3

• Negative e to the power of negative x plus 3

• Positive e to the power of x minus 3

• Positive e to the power of negative x minus 3