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KCET2012MathematicsBinomial Theorem

If y=e^ _ e [1+x+x²+ ] , then d y d x is equal to

Options

  1. A1 (1+x)²
  2. B1 (1-x)²
  3. C-1 (1+x)²
  4. D-1 (1-x)²

Correct answer

D. -1 (1-x)²

Step-by-step solution

Given, y=e^ [1+x+x²+ ] array cc & (1-x)⁻¹=1+x+x²+x³+ & y=e^ (1-x)⁻¹ & y=(1-x)⁻¹ array On differentiating w.r.t. ' x ', we get aligned d y d x &=(-1)(1-x)⁻² &= -1 (1-x)² aligned

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