# How to find instantaneous rate of change for f ( x ) = 3 x <mrow class="MJX-

How to find instantaneous rate of change for $f\left(x\right)=3{x}^{2}+4x$ at (1,7)?
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Jaruckigh
Instantaneus rate of change is the derivative calculated in a given point.
For the function:
$f\left(x\right)=3{x}^{2}+4x$
derivative is:
f'(x)=6x+4
Then, in point (1,7), we have:
f'(1)=6*1+4=10