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Question
The derivative of x2x w.r.t. x is ______.
Options
x2x – 1
2x2x log x
2x2x (1 + log x)
2x2x (1 – log x)
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Solution
The derivative of x2x w.r.t. x is 2x2x (1 + log x).
Explanation:
Let y = x2x
log y = 2x log x ...(Taking log on both sides)
Differentiating w.r.t. x,
`1/y dy/dx` = 2[1 + log x]
`\implies dy/dx` = 2x2x [1 + log x]
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