What is the instantaneous rate of change of

meiprate81w

meiprate81w

Answered question

2022-03-15

What is the instantaneous rate of change of f(x)=xex(x2)e3x2 at x=-1?

Answer & Explanation

Porter Camacho

Porter Camacho

Beginner2022-03-16Added 6 answers

Find the first derivative f'(x) then evaluate f'(-1)
It goes like this;
f(x)=xex(x2)e3x2
f(x)=xex1+ex1[(x2)e3x23+e3x21]
now use x=-1
f'(-1)=
(1)e1+e1[(12)e3(1)23+e3(1)2]
f(1)=0(3e53+e5)
f(1)=8e5
f'(-1)=0.05

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