What is the instantaneous rate of change of

melalcolicaoh3

melalcolicaoh3

Answered question

2022-03-17

What is the instantaneous rate of change of f(x)=(x1)24x at x=0?

Answer & Explanation

Gideon Hutchinson

Gideon Hutchinson

Beginner2022-03-18Added 4 answers

f(x)=(x1)24x
f(x)=x22x+14x
f(x)=x26x+1
Use power rule to find f'(x):
f'(x)=2x-6
f'(0)=2(0)-6=-6
f'(0)=-6
Instantaneous rate of change at x=0 of f(x) is -6.
Vaspplado8ko

Vaspplado8ko

Beginner2022-03-19Added 5 answers

The instantaneous rate of change of the function f(x) at the point x=x0 is the derivative of the function f(x) evaluated at the point x=x0
This means that we need to find the derivative of 4x+(x1)2 and evaluate it at x=0.
So, find the derivative of the function: ddx(4x+(x1)2)=2(x3)
Evaluate the derivative at x = 0.
(ddx(4x+(x1)2))(x=0)=6

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