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

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प्रश्न

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

`x^(3/2)`

योग

उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Differentiation - Exercise 9.1 [पृष्ठ १२०]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 9 Differentiation
Exercise 9.1 | Q I. (3) | पृष्ठ १२०

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