How do you estimate the instantaneous rate of

Malachi Mullins

Malachi Mullins

Answered question

2022-04-18

How do you estimate the instantaneous rate of change for f(x)=3x at x=2?

Answer & Explanation

annieljcddj0

annieljcddj0

Beginner2022-04-19Added 15 answers

Instantaneous rate of change can be found by finding the derivative of the equation. The equation in this particular problem can be rewritten as follows:
f(x)=3(x1)
From here we can follow the power rule of derivatives and get the derivative function.
f(x)=3(x2)
or
f(x)=3x2
From here we can plug in our given, x=2, and get the answer.
f(2)=34
ncruuk7ikt

ncruuk7ikt

Beginner2022-04-20Added 12 answers

Given:
f(x)=3x at x=2
This means that we need to find the derivative of 3x and evaluate it at x=2.
So, find the derivative of the function: ddx(3x)=3x2
Evaluate the derivative at x=2
(ddx(3x))|{(x=2)}=(3x2)|(x=2)=34

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