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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

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`

बेरीज

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)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Differentiation - Exercise 9.2 [पृष्ठ १९२]

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