AP EAMCET · Maths · Differentiation
If \(\frac{d}{d x}\left[(x+1)\left(x^2+1\right)\left(x^4+1\right)\left(x^8+1\right)\right]\) \(=\left(15 x^p-16 x^q+1\right)(x-1)^{-2}\), then \((p, q)\) is equal to
- A \((12,11)\)
- B \((15,14)\)
- C \((16,14)\)
- D \((16,15)\)
Answer & Solution
Correct Answer
(D) \((16,15)\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \frac{d}{d x}\left[(x+1)\left(x^2+1\right)\left(x^4+1\right)\left(x^8+1\right)\right] \\ &=\frac{\left(15 x^\rho-16 x^9+1\right)}{(x-1)^2} \\ & \text { LHS }= \frac{d}{d…
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