TS 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…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The area of the triangle formed by the tangent and the normal drawn to the curve at with -axis is (in square units)TS EAMCET 2022 Medium
- If the roots of the equation \(k x^3-18 x^2-36 x+8=0\) are in harmonic progression, then \(k=\)TS EAMCET 2023 Medium
- For the parabola \(y=x^2-3 x+2\), match the items in list-1 to that of the items in list-2. S is a focus, Z is intersection of axis and directrix, P is one end point of latus rectum, Q is the point on the parabola at which tangent is parallel to X -axis
List-1 List-2 A P I \((2,0)\) B Q II \(\left(\frac{3}{2},-\frac{1}{4}\right)\) C S III \(\left(\frac{3}{2}, 0\right)\) D Z IV \(\left(\frac{3}{2},-\frac{1}{2}\right)\) V \(\left(0, \frac{3}{2}\right)\) TS EAMCET 2025 Medium - The variance of a Poisson variate is . ThenTS EAMCET 2022 Easy
- For \(k>0\), the shortest distance from a point \(P(1, k)\) on the ellipse \(9 x^2+4 y^2-18 x+16 y-11=0\) to one of its directrix isTS EAMCET 2020 Medium
- If \(a, b, c\) and \(d \in R\) such that \(a^2+b^2=4\) and \(c^2+d^2=2\) and if \((a+i b)^2=(c+i d)^2(x+i y)\), then \(x^2+y^2\) is equal toTS EAMCET 2012 Medium
More PYQs from TS EAMCET
- If the radius of the incircle of a triangle with sides \(5 k, 6 k\) and \(5 k\) is 6 , then the largest angle of that triangle isTS EAMCET 2020 Easy
- Wavelength of \(\mathrm{H}^{+}\)ion with kinetic energy \(1.65 \mathrm{eV}\) is \(\left(\right.\) mass of proton \(=1.6726 \times 10^{-27} \mathrm{~kg}\) )TS EAMCET 2020 Easy
- The buffer system which helps to maintain the \(\mathrm{pH}\) of blood between 7.26 to 7.42 , isTS EAMCET 2015 Medium
- The hybridisation of Xe and the number of lone pairs of electrons on it in \(\mathrm{XeF}_6\) areTS EAMCET 2011 Easy
- If \(z\) and \(w\) are complex numbers such that \(\bar{z}-i \bar{w}=0\) and \(\operatorname{Arg}(z w)=\frac{3 \pi}{4}\), then \(\operatorname{Arg} z=\)TS EAMCET 2018 Medium
- A solution of mole of and of is diluted to one litre, then the of the solution isTS EAMCET 2019 Medium