.
is equivalent to 
.
:![\displaystyle \frac{d}{dx}[x^{a}] = a\, x^{a-1}](/tpl/images/2542/5441/4edd2.png)
.
. Thus:![\begin{aligned}k^{\prime}(x) &= \frac{d}{dx}[x^{1}] \\ &= 1\, x^{1 - 1} \\ &= x^{0} \\ &= 1 && \text{given that $x \ne 0$}\end{aligned}](/tpl/images/2542/5441/b675c.png)
.
(with respect to 
) is constantly 
at all 
.
, instantaneous rate of change of Learn with an example
Find the instantaneous rate of change of k(x) = x at x = 9....
Mathematics, 08.11.2021 14:00 20170020
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Find the instantaneous rate of change of k(x) = x at x = 9.
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