TS EAMCET · Maths · Differentiation
If , and , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given afx+bf1x=x+1 ...i Replacing x→1x, we get af1x+bfx=1x+1 ...ii a×i-b×ii, we get a2fx+abf1x-abf1x+b2fx=ax+a-bx-b a2-b2fx=ax-bx+a-b fx=ax-bxa2-b2+1a+b Now, ddxx2fx=ddxx2ax-bxa2-b2+1a+b =ddxax3-bxa2-b2+x2a+b=3ax2-ba2-b2+2xa+b…
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 two tangents to the parabola meet the tangent at its vertex in and such that , then the locus of the point of intersection of those two tangents isTS EAMCET 2018 Hard
- A man of 5 feet height is walking away from a light fixed at a height of 15 feet at the rate of K miles/hour. If the rate of increase of his shadow is \(\frac{11}{5}\) feet/sec, then \(\mathrm{K}=\) \((\) Take 1 mile \(=5280\) feet \()\)TS EAMCET 2025 Medium
- Let A be a point having position vector \(\bar{i}-3 \bar{j}\) and \(\bar{r}=(\bar{i}-3 \bar{j})+t(\bar{j}-2 \bar{k})\) be a line. If P is a point on this line and is at a minimum distance from the plane \(\bar{r} \bullet(2 \bar{i}+3 \bar{j}+5 \bar{k})=0\), then the equation of the plane through P and perpendicular to AP, isTS EAMCET 2025 Medium
- If the tangent drawn at a point \(P\) on the curve \(y=3 x^2-5 x+7\) is parallel to its chord joining the points \(\left(1, y_1\right)\) and \(\left(2, y_2\right)\) on it, then the \(x\)-coordinates of the point \(P\) isTS EAMCET 2019 Medium
- If the pair of lines and have a common line. thenTS EAMCET 2018 Medium
- If are the points of contact of the tangents drawn from the point to the circle and the chord subtends an angle at thenTS EAMCET 2022 Medium
More PYQs from TS EAMCET
- The axis of a parabola is along the line and the distance of its vertex from is and that of its focus from is . If and lie in first quadrant, then the equation of the parabola in parametric form isTS EAMCET 2022 Easy
- Let be the position vector of a point . Let be a point on the line which is passing through and parallel to the vector . If , then the position vector of isTS EAMCET 2018 Easy
- Two numbers are chosen at random from \(\{1,2,3,4,5,6,7,8\}\) at a time. The probability that smaller of the two numbers is less than 4 isTS EAMCET 2013 Hard
- The ratio of maximum to minimum wavelength in Balmer series of an hydrogenic atom isTS EAMCET 2020 Easy
- A line \(L\) is parallel to both the planes \(2 x+3 y+z=1\) and \(x+3 y+2 z=2\). If line \(L\) makes an angle \(\alpha\) with the positive direction of X-axis, then \(\cos \alpha=\)TS EAMCET 2023 Medium
- Match the items of List-I to the items of List-II

The correct match is \(\begin{array}{llll}A & B & C & D\end{array}\)TS EAMCET 2020 Medium