MY NOTES

Consider the following function.

$F(x)=x^{\frac{4}{5}}(x-1{)}^2$

Find the derivative of the function.

$F^{\text{'}}(x)=$

Find the values of $x$ such that $F^{\text{'}}(x)=0.($Enter your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

$x=$

$$

Find the values of $x$ in the domain $F$ such that $F^{\text{'}}(x)$ does not exist. $($Enter your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

$x=$

Find the critical numbers of the function. $($Enter your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

$x=$

Enhanced Feedback

To find critical numbers of a differentiable function, you need to differentiate the given function $F(x)$ and solve for $x$ in the equation $F(x)=0.Al$ solutions, as well as the poincs differentiable, are the critical numbers. Make sure that you use the Product Rule when differentiating the function.

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