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MHT CET2008MathematicsDifferentiation

If y= ₁₀ x+ _ x 10+ _ x x+ ₁₀ 10 , then d y d x is equal to

Options

  1. A1 x _ e 10 - _ e 10 x ( _ e x )²
  2. B1 x _ e 10 - 1 x ₁₀ e
  3. C1 x _ e 10 + _ e 10 x ( _ e x )²
  4. DNone of the above

Correct answer

A. 1 x _ e 10 - _ e 10 x ( _ e x )²

Step-by-step solution

Given, y= ₁₀ x+ _ x 10+ _ x x+ ₁₀ 10 y= ₁₀ e _ e x+ _ e 10 _ e x +1+1 On differentiating w.r.t. x , we get aligned d y d x &= 1 x ₁₀ e- _ e 10 x ( _ e x )² &= 1 x _ e 10 - _ e 10 x ( _ e x )² aligned

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