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Differentiate the following with respect to x. ex (x + log x) - Business Mathematics and Statistics

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प्रश्न

Differentiate the following with respect to x.

ex (x + log x)

योग

उत्तर

Let y = ex (x + log x)

`"dy"/"dx" = e^x "d"/"dx" (x + log x) + (x + log x) "d"/"dx" (e^x)`

`= e^x (1 + 1/x) + (x + log x)e^x`

`= e^x [1 + 1/x + x + log x]`

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Differentiation Techniques
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Differential Calculus - Exercise 5.5 [पृष्ठ ११८]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 5 Differential Calculus
Exercise 5.5 | Q 3. (iii) | पृष्ठ ११८
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