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Differentiate the following w.r.t. x: xe + xx + ex + ee.

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प्रश्न

Differentiate the following w.r.t. x: xe + xx + ex + ee.

योग
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उत्तर

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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अध्याय 1: Differentiation - Exercise 1.3 [पृष्ठ ४०]

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