GATE DA topic:calculus-optimization PYQs & Answers — Page 2

Questions 11–14 of 14. Imported answers require independent review unless marked reviewed.

Topic practice 14 questionsPage 2 of 2

Let

be the function

The value of the derivative of

where

is _____ (rounded off to two decimal places).

Note:

denotes the set of real numbers.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be a function. Note:

denotes the set of real numbers.

Which ONE of the following choices gives the values of

that make the function

continuous and differentiable?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the function

where

is the set of all real numbers.

Which of the following statements is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

is a local maximum of

is a local minimum of

is a local maximum of

is a local minimum of

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Evaluate the following limit:

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE DA topic:calculus-optimization PYQs