MHT CET · Maths · Differentiation
Derivative of \(x^{\left(x^x\right)}\) is
- A \(x^{\left(x^x\right)}\left(x^x+1+\log x\right)\)
- B \(x^{\left(x^x\right)}\left(x^x+\log x\right)\)
- C \(x^{\left(x^x\right)}\left(x^x+x^{x-1} \log x(1+\log x)\right)\)
- D \(x^{\left(x^x\right)}\left(x^{x-1}+x^x \log x(1+\log x)\right)\)
Answer & Solution
Correct Answer
(D) \(x^{\left(x^x\right)}\left(x^{x-1}+x^x \log x(1+\log x)\right)\)
Step-by-step Solution
Detailed explanation
Let \(y = x^{\left(x^x\right)}\) \(\ln y = x^x \ln x\)
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