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Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

Find dydxdydx of the following function: x = ct, y = ct - Business Mathematics and Statistics

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Question

Find `"dy"/"dx"` of the following function:

x = ct, y = `c/t`

Sum

Solution

x = ct, y = `"c"/"t"`

`"dx"/"dt"` = c  `"dy"/"dt" = "c"((-1)/"t"^2)`

`"dy"/"dt" = ("dy"/"dt")/("dx"/"dt") = ("c"((-1)/"t"^2))/"c" = (-1)/t^2`

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Differentiation Techniques
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Chapter 5: Differential Calculus - Exercise 5.8 [Page 122]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 11 TN Board
Chapter 5 Differential Calculus
Exercise 5.8 | Q 1. (i) | Page 122
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