What is the instantaneous rate of change of

Charity Davies

Charity Davies

Answered question

2022-03-14

What is the instantaneous rate of change of f(x)=1x2+2x+3 at x=0?

Answer & Explanation

IdodaHekbed7mx

IdodaHekbed7mx

Beginner2022-03-15Added 4 answers

Explanation:
This is just the value of f'(0)
f(x)=1x2+2x+3=(x2+2x+3)1
using the chain rule
ddx[f(g(x))]=f(g(x))g(x)
f(x)=(x2+2x+3)2ddx(x2+2x+3)
=2x+2(x2+2x+3)2
and f(0)=232=29

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