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Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

Differentiate the following with respect to x. ex sin x - Business Mathematics and Statistics

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Question

Differentiate the following with respect to x.

ex sin x

Sum
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Solution

Let y = ex sin x

`"dy"/"dx" = e^x "d"/"dx" (sin x) + sin x "d"/"dx" (e^x)`

= ex cos x + sin x ex

= ex (cos x + sin x)

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Differentiation Techniques
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Chapter 5: Differential Calculus - Exercise 5.5 [Page 118]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 11 TN Board
Chapter 5 Differential Calculus
Exercise 5.5 | Q 3. (ii) | Page 118
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