Find f'(a). f(t)= frac{3t+3}{t+2}

banganX

banganX

Answered question

2021-02-25

Find f'(a).
f(t)=3t+3t+2

Answer & Explanation

Nathaniel Kramer

Nathaniel Kramer

Skilled2021-02-26Added 78 answers

The easiest approach will be to use the quotient rule which says that the derivative of the function f(x)=g(x)h(x) at any point where h(x) does not equal 00 is
f(x)=(g(x)h(x)g(x)h(x))/[h(x)]2
In this case, g(t)=3t+3  and  h(t)=t+2. The derivatives of these functions are g(t)=3 and h(t)=1 respectively. So substituting them in we get
f(a)=3(a+2)(3a+3)(1)a+22=3a+22

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