Application of Derivatives - CBSEGuess
Sample Paper – 2008
Class – XII
Subject - Mathematics
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Application of Derivatives
Q1 The volume of a cube is increasing at a constant rate. Prove that the increase in surface area varies inversely as the length of the edge of the cube.
Q2 Use differentials to find the approximate value of [pic]
Q3 It is given that for the function f(x) = x3 – 6x2 + ax + b on [1, 3], Rolle’s theorem holds with
c = 2+ [pic]. Find the values of a and b if f(1)= f(3) = 0
Q4 Find a point on the curve y = (x – 3)2, where the tangent is parallel to the line joining (4, 1)
and (3, 0).
Q5 Find the intervals in which the function f(x) = x4 – 8x3 + 22x2 – 24x + 21 is decreasing or increasing.
Q6 Find the local maximum or local minimum of the function.
f(x) = sin4x + cos4x, 0 ................
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