If y = x x + x 7 + 7 x + 7 7 , then d x d y =

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Question: Answered & Verified by Expert

If $y=x^x+x^7+7^x+7^7$, then $\frac{d y}{d x}=$

MathematicsDifferentiationAP EAMCETAP EAMCET 2017 (24 Apr Shift 1)

Options:

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 $x \cdot x^{x-1} \log _e x+7 x^6+7^x\left(\log _7 e\right)$

Solution:

2037 Upvotes Verified Answer

The correct answer is: $x^x\left(1+\log _e x\right)+7 x^6+7^x\left(\log _e 7\right)$

No solution. Refer to answer key.

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