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Calculus Examples
Step 1
Step 1.1
Set the argument in greater than to find where the expression is defined.
Step 1.2
Set the radicand in greater than or equal to to find where the expression is defined.
Step 1.3
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Interval Notation:
Set-Builder Notation:
Step 2
Step 2.1
Replace the variable with in the expression.
Step 2.2
Remove parentheses.
Step 2.3
The natural logarithm of zero is undefined.
Undefined
Step 3
The radical expression end point is .
Step 4
Step 4.1
Substitute the value into . In this case, the point is .
Step 4.1.1
Replace the variable with in the expression.
Step 4.1.2
Simplify the result.
Step 4.1.2.1
Remove parentheses.
Step 4.1.2.2
Any root of is .
Step 4.1.2.3
Multiply by .
Step 4.1.2.4
The natural logarithm of is .
Step 4.1.2.5
The final answer is .
Step 4.2
Substitute the value into . In this case, the point is .
Step 4.2.1
Replace the variable with in the expression.
Step 4.2.2
Simplify the result.
Step 4.2.2.1
Remove parentheses.
Step 4.2.2.2
The final answer is .
Step 4.3
The square root can be graphed using the points around the vertex
Step 5