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# Calculus Examples

Step 1

Find the first derivative.

Rewrite as .

Differentiate using the Power Rule which states that is where .

Rewrite the expression using the negative exponent rule .

The first derivative of with respect to is .

Step 2

Set the first derivative equal to .

Set the numerator equal to zero.

Since , there are no solutions.

No solution

No solution

Step 3

Set the denominator in equal to to find where the expression is undefined.

Solve for .

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

Simplify .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Plus or minus is .

Step 4

Evaluate at .

Substitute for .

The expression contains a division by . The expression is undefined.

Undefined

Undefined

Undefined

Step 5

There are no values of in the domain of the original problem where the derivative is or undefined.

No critical points found