# Calculus 1 : Other Differential Functions

## Example Questions

### Example Question #81 : Other Differential Functions

Find the derivative of the function      Explanation:

To find the derivative of this function we must use the Chain Rule and the Quotient Rule. Applying the Chain Rule to the numerator gives Now using the Quotient Rule for the function, we find the derivative to be ### Example Question #81 : Other Differential Functions

Find the derivative of      Explanation:

To find the derivative of this function, we must use the Quotient Rule which is Applying this to the function we are given, with and gives us ### Example Question #81 : How To Find Differential Functions

Find the derivative of the following function      Explanation:

To find the derivative of this function we must use the Product Rule and the Quotient Rule. Appling the Product Rule to the numerator of the function gives us Using this with the Quotient Rule, we find  ### Example Question #84 : How To Find Differential Functions

Find the derivative of      Explanation:

To find the derivative of this function we must use the Product Rule and the Chain Rule. If and then  Applying these derivatives to the Product Rule gives us ### Example Question #85 : How To Find Differential Functions

Differentiate:      Explanation:

To find the derivative of this function we must use the Product Rule and the Chain Rule. First we set and Now differentiating both of these functions gives  Applying this to the Product Rule gives us, ### Example Question #86 : How To Find Differential Functions

Find the derivative of None of these answers are correct.    Explanation:

To find the derivative of this function we must use the Product Rule and the Chain Rule. If we have and then and Applying this to the product rule, we find  ### Example Question #87 : How To Find Differential Functions

Find the derivative of the function   None of these answers are correct.  Explanation:

To find the derivative of this function, we must use the Product Rule, Quotient Rule, and the Chain Rule. To do this, we first find the derivative of each part.   Using the derivatives of each part we can find the derivative of the numerator using the Product Rule Finally, putting this into the Quotient Rule gives  ### Example Question #88 : How To Find Differential Functions

Differentiate the function  None of these answers are correct.   Explanation:

To differentiate this function we must use the Quotient Rule Using and .

The derivative of the function is then ### Example Question #89 : How To Find Differential Functions

Differentiate the following function None of these answers are correct.    Explanation:

To differentiate this function we must use the Chain Rule. where Therefore the derivative of the function is  ### Example Question #81 : Other Differential Functions

Find the derivative of the function None of these answers are correct.    Explanation:

To find the derivative of the function, we must use the Product Rule, Using and .

Therefore  ### All Calculus 1 Resources 