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Differentiate y = etanx w.r. to x

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Question

Differentiate y = etanx w.r. to x

Sum
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Solution

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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Chapter 2.1: Differentiation - Very Short Answers

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