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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Differentiate the following:y = sin (ex) - Mathematics

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Question

Differentiate the following:
y = sin (ex)

Sum

Solution

y = sin (ex)

[y = f(g(x)

`("d"y)/("d"x)` = f'(g(x)) . g'(x)]

y = `cos  ("e"^x) * "d"/("d"x) ("e"^x)`

y = cos ((ex)) . ex

y = ex cos (ex)

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Differentiation Rules
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Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.3 [Page 163]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.3 | Q 6 | Page 163
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