# Calculus 1 : Other Differential Functions

## Example Questions

### Example Question #91 : How To Find Differential Functions

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

To differentiate the function properly, we must use the Chain Rule which is, Therefore the derivative of the function is, ### Example Question #91 : Other Differential Functions

Differentiate      Explanation:

To differentiate this equation we use the Chain Rule. Using this throughout the equation gives us, ### Example Question #93 : Other Differential Functions

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

To find the derivative of the function we must use the Chain Rule, which is Applying this to the function we get, ### Example Question #91 : How To Find Differential Functions

Find the derivative of      Explanation:

To find the derivative of the function we must use the Chain Rule Applying this to the function we are given gives, ### Example Question #92 : Other Differential Functions

Find the first derivative of the function       Explanation:

To find the derivative of this function we can use the Product Rule Applying this to the function we get ### Example Question #96 : Other Differential Functions

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

To differentiate the function that we are given we must use the Quotient Rule Applying this to the function we are given gives, ### Example Question #93 : Other Differential Functions

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

To differentiate this function we must use the Chain Rule and the Quotient Rule  Applying these to the function we are given gives us, ### Example Question #94 : Other Differential Functions

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

To differentiate this function we must use the Quotient Rule where Using and with the Quotient Rule gives,  ### Example Question #95 : Other Differential Functions

Differentiate      Explanation:

To differentiate this function we must use the Chain Rule. Applying this to the function we obtain, ### Example Question #96 : Other Differential Functions

Differentiate the polynomial.       Using the power rule, we can differentiate our first term reducing the power by one and multiplying our term by the original power. , will thus become . The second term is a constant value, so according to the power rule this term will become . 