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Differentiate the following w. r. t. x. : x52+5x75 - Mathematics and Statistics

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प्रश्न

Differentiate the following w. r. t. x. : `x^(5/2) + 5x^(7/5)`

योग

उत्तर

Let y = `x^(5/2) + 5x^(7/5)`

Differentiating w.r.t. x, we get

= `dy/dx = d/dx(x^(5/2) + 5x^(7/5))`

= `d/dx x^(5/2)+5d/dx x^(7/5)`

= `5/2x^(5/2-1) + 5 7/5x^(7/5-1)`

= `5/2x^(3/2) + 7x^(2/5)`

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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 II. (3) | पृष्ठ १२०

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