Differentiate the following functions with respect to x:
3^{x log x}

Let

On differentiating y with respect to x, we get

We know

[using chain rule]

Recall that (uv)’ = vu’ + uv’ (product rule)

We have and

Thus,

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Differentiate the following functions with respect to x:

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Differentiate the following functions with respect to x:

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Differentiate the following functions with respect to x:

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Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:3x log x