AP EAMCET · Maths · Differentiation
If \(y=x^x+x^7+7^x+7^7\), then \(\frac{d y}{d x}=\)
- A \(x \cdot x^{x-1}+7 x^6+x 7^{x-1}\)
- B \(x^x\left(1+\log _e x\right)+7 x^6+7^x\left(\log _e 7\right)\)
- C \(x^x\left(1+\log _e x\right)+7 x^6+x \cdot 7^{x-1}\)
- D \(x \cdot x^{x-1} \log _e x+7 x^6+7^x\left(\log _7 e\right)\)
Answer & Solution
Correct Answer
(B) \(x^x\left(1+\log _e x\right)+7 x^6+7^x\left(\log _e 7\right)\)
Step-by-step Solution
Detailed explanation
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