Question

Which of the following corresponds to the derivative of f(x)=xe^x, using the primary definition of a derivative, reduced to its simplest form before taking the limit?

(Ignore my answer I accidentally selected it)

Answer 1

The derivative of f(x) = xe^x using the primary definition of a derivative is (1+x)e^x.

Step-by-step explanation:

The derivative of f(x) = xe^x using the primary definition of a derivative, reduced to its simplest form before taking the limit, can be found using the product rule.

1. Apply the product rule which states that the derivative of (uv) is u'v + uv'
2. Let u = x and v = e^x
3. Find u' and v'
4. Substitute the values into the product rule formula
5. Simplify the expression to its simplest form

Therefore, the derivative of f(x) = xe^x is (1+x)e^x.

Answer 2

It’s 4 because I said so and I need it badly