Calculus 1 : Other Differential Functions

Study concepts, example questions & explanations for Calculus 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #91 : How To Find Differential Functions

Differentiate the function

Possible Answers:

None of these answers are correct.

Correct answer:

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

Possible Answers:

Correct answer:

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 

Possible Answers:

None of these answers are correct.

Correct answer:

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

Possible Answers:

Correct answer:

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

Possible Answers:

Correct answer:

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

Possible Answers:

None of these answers are correct.

Correct answer:

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 

Possible Answers:

None of these answers are correct.

Correct answer:

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

Possible Answers:

None of these answers are correct.

Correct answer:

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

Possible Answers:

Correct answer:

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.

Possible Answers:

Correct answer:

Explanation:

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 .

Learning Tools by Varsity Tutors