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Question
Differentiate the following w.r.t. x: xe + xx + ex + ee.
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Solution
y = xe + xx + ex + ee
1. xe = `d/dx (x^e) = ex^((e-1))`
2. xx = `d/dx (x^x) = x^x (1+ln x)`
3. ex = `d/dx (e^x) = e^x`
4. ee = `d/dx (e^e) = 0`
`dy/dx = ex^((e-1)) + x^x (1+ln x) + e^x`
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