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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the derivatives of the following functions with respect to corresponding independent variables: y = tanxx - Mathematics

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Question

Find the derivatives of the following functions with respect to corresponding independent variables:

y = `tan x/x`

Sum

Solution

y = `tanx/x`

`("d"y)/("d"x) = (x * sec^2x - tan x * 1)/x^2`

`("d"y)/("d"x) = (x sec^2x - tan x)/x^2`

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Differentiation Rules
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Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.2 [Page 160]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.2 | Q 8 | Page 160
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