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KCET2011MathematicsTrigonometric Ratios & Identities

If y= x 2 x 3 x n x , then y^ is

Options

  1. A_ k=1 ^ n k k x
  2. By _ k=1 ^ n k k x
  3. Cy _ k=1 ^ n k k n
  4. D_ k=1 ^ n k x

Correct answer

B. y _ k=1 ^ n k k x

Step-by-step solution

Given, y= x 2 x 3 x . n x . Taking log on both sides, y= x+ 2 x+ + n x Differentiating w.r.t. x , 1 y d y d x =1 x+2 2 x+ +n n x array ll & d y d x =y _ k=1 ^ n k k x & y^ =y _ k=1 ^ n k k x array

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