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Find the second order derivative of the function. x^20

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Question

Find the second order derivative of the function.

x20

Sum
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Solution

Let, y = x20

Differentiating both sides with respect to x,

`dy/dx = d/dx x^20`

= `20x^(20 - 1)`

= 20 x19

Differentiating both sides again with respect to x,

`(d^2 y)/dx^2 = 20 d/dx x^19`

= `20 xx 19x^(19 - 1)`

= 380 x18

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Chapter 5: Continuity and Differentiability - Exercise 5.7 [Page 183]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 5 Continuity and Differentiability
Exercise 5.7 | Q 183 | Page 183

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