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Find the derivative of the following functions w. r. t. x. : x32 - Mathematics and Statistics

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Question

Find the derivative of the following functions w. r. t. x.:

`x^(3/2)`

Sum
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Solution

Let y =`x^(3/2)`

Differentiating w.r.t. x, we get

`dy/dx = d/dxx^(3/2)`

= `3/2 x^(3/2-1)`

= `-3/2 x^(1/2)`

= `3/ 2 sqrtx`

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Definition of Derivative and Differentiability
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Chapter 9: Differentiation - Exercise 9.1 [Page 120]

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