# 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.