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Question
If y = `e^ax`, then `x * dy/dx` = ______.
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Solution
If y = `e^ax`, then `x * dy/dx =` axy.
Explanation:
y = `e^ax`
Differentiating both sides w.r.t. x, we get
`dy/dx = e^ax * d/dx (ax)`
`= e^ax * (a)`
`= a * e^ax`
∴ `dy/dx` = ay
∴ `x dy/dx = axy`
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