Exercise
Find the derivative of the following function:
f(x)=\sqrt{r^2-x^2}
with parameter r.
Final Answer
Solution
f(x)=\sqrt{r^2-x^2}
Using Derivative formulas and the chain rule in Derivative Rules, we get the derivative:
f'(x)=\frac{1}{2\sqrt{r^2-x^2}}\cdot (-2x)=
One can simplify the derivative:
=\frac{-x}{\sqrt{r^2-x^2}}
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