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Class XII Maths IQs on Application of Derivatives

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Question 1

The function f(x)=cot-1x + x increases in the interval:

Question 2

The greatest value of

Question 3

Find the rate of change perimeter of the right angle triangle (cm/sec) given that the hypotenuse is constant at 13 cm and the base shrinks at a rate of 12 cm/sec.

Question 4

A particle moves along the path defined by the equation 6y=x3+2. Find the point(s) on the curve when the abscissa varies 8 times as fast at the ordinate.

Question 5

If the function follows Mean Value Theorem in the range , find the value of c.

Question 6

The slope of at a certain point in the interval satisfies Mean Value Theorem. Find the abscissa of the point.

Question 7

Angles between the tangents to the curve at the points (2,0) and (3,0) is

Question 8

The two curves and
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Apr 24JEE & BITSAT