Calculus Examples

Find the Horizontal Tangent Line e^x
Step 1
Differentiate using the Exponential Rule which states that is where =.
Step 2
Set the derivative equal to then solve the equation .
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Step 2.1
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 2.2
The equation cannot be solved because is undefined.
Undefined
Step 2.3
There is no solution for
No solution
No solution
Step 3
There are no solution found by setting the derivative equal to , so there are no horizontal tangent lines.
No horizontal tangent lines found
Step 4