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NDA || Mathematics || Calculus || Differentiation || Quiz

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Question 1

The derivative of sec-1{1/(2x2+1)} w.r.t  at x = -1/3 is

Question 2

the function x5 - 5x4 + 5x3 – 1 is

Question 3

If , then find the value of .

Question 4

If xy=tan(xy) then find out the value of

Question 5

If

Question 6

If  then find at what value of x extremum occur.

Question 7

Find the slope of normal of the curve given by  at t = .

Question 8

Consider the following for the next three (03) items that follow :

Let  .

What is f’(x) equal to when x > 1?

Question 9

Consider the following for the next three (03) items that follow :

Let  .

What is f’(x) equal to when 0 < x < 1?

Question 10

Consider the following for the next three (03) items that follow :

Let  .

Which of the following equations is/are correct?

1) f(-2) = f(5)

2) f”(-2) + f”(0.5) + f”(3) = 4

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Aug 26CDS & Defence