Tamil Nadu Board of Secondary EducationHSC Commerce Class 11th

Find y2 for the following function: y = e3x+2 - Business Mathematics and Statistics

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Sum

Find y2 for the following function:

y = e3x+2

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Solution

y = e3x+2 

`y_1 = "dy"/"dx" = e^(3x + 2) "d"/"dx" (3x + 2)`

`= e^(3x + 2) (3(1) + 0)`

= `3e^(3x + 2)`

`y_2 = ("d"^2"y")/"dx"^2`

`= 3 ["d"/"dx" (e^(3x + 2))]`

= 3`[3e^(3x + 2)]`

= 9`e^(3x + 2)`

= 9y

Concept: Differentiation Techniques
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Chapter 5: Differential Calculus - Exercise 5.9 [Page 123]

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Tamil Nadu Board Samacheer Kalvi Class 11th Business Mathematics and Statistics Answers Guide
Chapter 5 Differential Calculus
Exercise 5.9 | Q 1. (i) | Page 123
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