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Differentiate the following w.r.t.x : y = x43+ex-sinx - Mathematics and Statistics

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प्रश्न

Differentiate the following w.r.t.x :

y = `x^(4/3) + "e"^x - sinx`

योग

उत्तर

y = `x^(4/3) + "e"^x - sinx`

Differentiating w.r.t. x, we get

`("d"y)/("d"x) = "d"/("d"x)(x^(4/3) + "e"^x - sinx)`

∴ `("d"y)/("d"x) = "d"/("d"x) (x^(4/3)) + "d"/("d"x)("e"^x) - "d"/("d"x)(sinx)`

= `4/3x^(4/3 - 1) + "e"^x - cos x`

= `4/3 x^(1/3) + "e"^x - cos x`

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Rules of Differentiation (Without Proof)
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Differentiation - Exercise 9.2 [पृष्ठ १९२]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 9 Differentiation
Exercise 9.2 | Q I. (1) | पृष्ठ १९२

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