How to find instantaneous rate of change for f ( x ) = &#x2212;<!-- - --> x

Andy Erickson

Andy Erickson

Answered question

2022-05-20

How to find instantaneous rate of change for f ( x ) = x 4 + 1 at (3, -80)?

Answer & Explanation

Buckokasg

Buckokasg

Beginner2022-05-21Added 7 answers

The instant rate of change of a function f at x=a is given by f'(a).
Here, f ( x ) = x 4 + 1. The derivative of this is f ( x ) = 4 x 3 . The instant rate
of change of f at x=3, then, is f ( 3 ) = 4 ( 3 3 ) = 108

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