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Question
Differentiate the following:
y = e–mx
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Solution
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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