# Find the Critical Points f(x)=e^(2x-6)-e Find the derivative.
By the Sum Rule, the derivative of with respect to is .
Evaluate .
Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
Differentiate using the Exponential Rule which states that is where =.
Replace all occurrences of with .
By the Sum Rule, the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Multiply by .
Move to the left of .
Differentiate using the Constant Rule.
Since is constant with respect to , the derivative of with respect to is .
Set the derivative equal to .
Solve for .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
The equation cannot be solved because is undefined.
Undefined
There is no solution for
No solution
No solution
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
Set-Builder Notation:
There are no values of in the domain of the original problem where the derivative of the function is or undefined.
No critical points found
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