AP EAMCET · Maths · Application of Derivatives
The constant \(c\) of Rolle's theorem for the function \(f(x)=(x-1)^3(x-2)^5\) in [1, 2] is
- A \(\frac{3}{2}\)
- B \(\frac{11}{6}\)
- C \(\frac{13}{8}\)
- D \(\frac{11}{8}\)
Answer & Solution
Correct Answer
(D) \(\frac{11}{8}\)
Step-by-step Solution
Detailed explanation
No solution. Refer to answer key.
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
- If \(x+i y=\frac{3}{2+\cos (\theta)+i \sin (\theta)}\), then \(x^2+y^2=\)AP EAMCET 2020 Medium
- The origin is translated to \((1,2)\). The point \((7,5)\) in the old system undergoes the following transformations successively.
I. Moves to the new point under the given translation of origin.
II. Translated through 2 units along the negative direction of the new \(X\)-axis.
III. Rotated through an angle \(\frac{\pi}{4}\) about the origin of new system in the clockwise direction. The final position of the point \((7,5)\) isAP EAMCET 2013 Easy - Let \(z_1, z_2\) be two complex numbers such that \(\bar{z}_1-i \bar{z}_2=0\) and \(\arg \left(z_1 z_2\right)=\frac{3 \pi}{4}\), then \(\arg \left(z_1\right)=\)AP EAMCET 2020 Easy
- The radius of a circular plate is increasing at the rate of \(0.01 \mathrm{~cm} / \mathrm{s}\) when the radius is \(12 \mathrm{~cm}\). Then, the rate at which the area increases, isAP EAMCET 2005 Hard
- If a straight line passing through the point \(\mathrm{P}(3,4)\) makes an angle \(\frac{\pi}{6}\) with the \(\mathrm{X}\)-axis and meets the line \(12 x+5 y+10=0\) at \(\mathrm{Q}\), then the length of \(\mathrm{PQ}\) isAP EAMCET 2017 Easy
- The solution of \(\frac{d^2 y}{d x^2}=0\) representsAP EAMCET 2020 Easy
More PYQs from AP EAMCET
- Identify the incorrect statementAP EAMCET 2017 Medium
- When \(4 \mathrm{C}, \mathrm{Q} C\) and \(1 \mathrm{C}\) electrical charges are placed along a straight line of length ' \(l\) ' at 0 , \(\frac{l}{2}\) and \(l\) respectively. The respective values of \(\mathrm{Q}\) so that the net force on \(4 \mathrm{C}\) is zero and
\(1 \mathrm{C}\) is zero separately are (in coulomb)AP EAMCET 2017 Easy - In a triangle, if \(r_1=2 r_2=3 r_3\), then \(\frac{a}{b}+\frac{b}{c}+\frac{c}{a}\) is equal toAP EAMCET 2008 Medium
- The equation of the straight line perpendicular to the straight line \(3 x+2 y=0\) and passing through the point of intersection of the lines \(x+3 y-1=0\) and \(x-2 y+4=0\) isAP EAMCET 2009 Easy
- If \(A=\left[\begin{array}{cc}1 & -2 \\ 4 & 5\end{array}\right]\) and \(f(t)=t^2-3 t+7\), then \(f(A)+\left[\begin{array}{cc}3 & 6 \\ -12 & -9\end{array}\right]\) is equal toAP EAMCET 2008 Medium
- If \(\frac{3 x^2+x+1}{(x-1)^4}=\frac{a}{(x-1)}+\frac{b}{(x-1)^2}\) \(+\frac{c}{(x-1)^3}+\frac{d}{(x-1)^4}\)
then \(\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]\) is equal toAP EAMCET 2010 Medium