College Math

Find the derivative of the following functions:
a) f(x)=(3x^2-6 )/(x+2)

b) g(x)=sin(e^2 +5x)

c) j(x)=6xe^x

d) Your velocity is v(t)= t^2 = 1 for 0≤ t ≤ 4. Find or estimate the distance traveled during this time.

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  1. F'(x) = 3(x^2 +4x +2/(x+2)^2
    F'(x) = 5cos(5x + e^2)
    F'(x) = 6x(e^x) + e^x (6)
    = 6e^x (x +1)

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  2. a. F'(x) = 3(x^2 +4x +2/(x+2)^2
    b. F'(x) = 5cos(5x + e^2)
    c. F'(x) = 6x(e^x) + e^x (6)
    = 6e^x (x +1)

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  3. Thank you very much!

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