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Question
Differentiate the following w. r. t. x. : `x^(5/2) e^x`
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Solution
Let y = `x^(5/2) "e"^x`
Differentiating w.r.t. x, we get
`dy/dx = d/dx(x^(5/2)"e"^x)`
= `x^(5/2)d/dx("e"^x)+ "e"^x d/dx(x^(5/2))`
= `x^(5/2) ("e"^x) + "e"^x(5/2x^(3/2))`
= `"e"^x(x^(5/2)+ 5/2 x^(3/2))`
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