5. (8 pts) Compute the derivative of h(x) = x^3+x^2/e^3x and simplify your answer.

Question

5. (8 pts) Compute the derivative of h(x) = x^3+x^2/e^3x
and simplify your answer.

in progress 0
Sophia 1 month 2021-10-22T10:14:25+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-22T10:16:15+00:00

    Answer:

      h'(x) = (-3x^3 +2x)/e^(3x)

    Step-by-step explanation:

    The formula for the derivative of a quotient is …

      (u/v)’ = (vu’ -uv’)/v²

    Using u = (x^3 +x^2) and v = e^(3x), this becomes …

      h'(x) = (e^(3x)(3x^2 +2x) -(x^3 +x^2)(3)(e^(3x))/e^(6x)

      h'(x) = (-3x^3 +2x)/e^(3x)

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )