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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Differentiate y = etanx w.r. to x - Mathematics and Statistics

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प्रश्न

Differentiate y = etanx w.r. to x

बेरीज
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उत्तर

y = etanx 

∴ `("d"y)/("d"x) = "d"/("d"x) ("e"^(tanx))`

= `"e"^(tanx) * "d"/("d"x)(tan x)`

= `"e"^(tan x) * sec^2x`

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पाठ 2.1: Differentiation - Very Short Answers

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