How do you find the instantaneous rate of change of the function f ( x ) = x <

Misael Matthews 2022-06-26 Answered
How do you find the instantaneous rate of change of the function f ( x ) = x 2 + 2 x when x=0?
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Answers (1)

Quinn Everett
Answered 2022-06-27 Author has 23 answers
To find the instantaneous rate of change of a function f(x) at a point d, we solve for f'(x), and then solve for f'(d).
Here, f ( x ) = x 2 + 2 x
And so f'(x) is:
According to the power rule, d d x x n = n x n 1
f'(x)=2x+2. Here, d=0, so we input:
f'(0)=2*0+2
f'(0)=2
The rate of change of the function at x=0 is 2
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