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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: If y = 14u4, u = 23x3+5, then dddydx is

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Question

Choose the correct alternative:

If y = `1/4 u^4`, u = `2/3 x^3 + 5`, then `("d"y)/("d"x)` is 

Options

  • `1/27 x^2 (2x^3 + 15)^3`

  • `2/27 x(2x^3 + 5)^3`

  • `2/27 x^2(2x^3 + 15)^3`

  • `- 2/27 x(2x^3 + 5)^3`

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Solution

`2/27 x^2(2x^3 + 15)^3`

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Differentiation Rules
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Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [Page 177]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 3 | Page 177

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