CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. M.P.Keshari Application of derivatives Q.3. The volume of a cube is increasing at the rate of 7 cubic centimeters per second. How fast is the surface area of the cube increasing when the length of an edge is 12 centimeters? Solution : Let the edge of the cube be a, the volume be V and surface area be S. 6.2. Increasing and Decreasing Function. Q.1. Find the intervals in which the function f(x) = x3 – 12 x2 + 36 x + 17 is
Solution : We have, f(x) = x3 – 12 x2 + 36 x + 17
Q.2. Find the intervals in which the function f(x) = 2x3 – 9x2 + 12x + 15 is (i) increasing and (ii) decreasing. Solution : We have, f(x) = 2x3 – 9x2 + 12x + 15
Therefore, f(x) is increasing in ( – ∞, 1), (2, ∞) and decreasing in (1, 2). [Ans.]
Paper By Mr. M.P.Keshari |
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