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Differentiate the following:y = e–mx - Mathematics

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प्रश्न

Differentiate the following:
y = e–mx 

योग

उत्तर

y = e–mx 

[y = f(g(x)

`("d"y)/("d"x)` = f'(g(x)) . g'(x)]

`("d"y)/("d"x) = "e"^(-"m"x) xx "d"/("d"x) (- "m"x)`

`("d"y)/("d"x) = "e"^(- "m"x) xx - "m"x`

`("d"y)/("d"x) = - "me"^(-"m"x)`

= – my

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Differentiation Rules
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.3 [पृष्ठ १६३]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.3 | Q 11 | पृष्ठ १६३

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