CUET · MATHS · PYQ PAPER 2025
Differentiation of \(\log \left[\log \left(\log x^5\right)\right]\) with respect to \(x\) is
- A \(\frac{5}{x\left(\log x^5\right) \log \left(\log x^5\right)}\)
- B \(\frac{5}{x \log \left(\log x^5\right)}\)
- C \(\frac{5 x^2}{\left(\log x^5\right) \log \left(\log x^5\right)}\)
- D \(\frac{5 x^4}{\left(\log x^5\right) \log \left(\log x^5\right)}\)
Answer & Solution
Correct Answer
(A) \(\frac{5}{x\left(\log x^5\right) \log \left(\log x^5\right)}\)
Step-by-step Solution
Detailed explanation
\(\frac{d}{dx} \log \left[\log \left(\log x^5\right)\right] = \frac{1}{\log \left(\log x^5\right)} \cdot \frac{d}{dx} \log \left(\log x^5\right)\) \(= \frac{1}{\log \left(\log x^5\right)} \cdot \frac{1}{\log x^5} \cdot \frac{d}{dx} \log x^5\)…
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 number of square matrices of order 2 using numbers 1 and -1 exactly once and the number 0 twice is :CUET 2023 Hard
- Consider the differential equation \(\frac{d y}{d x}+y \tan x=\sec x\), then which of the following statements are correct?
(A) It is homogeneous
(B) It has \(\sec x\) as its integrating factor
(C) Its general solution is \(y \sec x=\tan x+c\), where \(c\) is an arbitrary constant.
(D) Its degree is not defined
Choose the correct answer from the options given below :CUET 2025 Medium - The corner points of the feasible region determined by the following system of linear inequalities :
\(2 x+y \leq 10, \quad x+3 y \leq 15, \quad x, y \geq 0\) are \((0,0),(5,0),(3,4)\) and \((0,5)\).
Let \(z=p x+q y\), where \(p, q>0\).
Condition on \(p\) and \(q\) so that maximum of \(z\) occurs at both \((3,4)\) and \((0,5)\) is :CUET 2023 Easy - The probability that in a year of the 22nd century chosen at random, there will be 53 Sundays is:CUET 2025 Easy
- The sides of an equilateral triangle are increasing at the rate of \(2 cm / sec\). The rate at which the area increases when the side is 10 cm , isCUET 2025 Medium
- The maximum value of the objective function \(Z=10 x+15 y\) of an L.P.P, whjected to the constraints
\(2 x+4 y \leq 8,\)
\(3 x+y \leq 6\)
\(-x-y \geq-4\)
\(x \geq 0, y \geq 0\) is :CUET 2025 Easy
More PYQs from CUET
- The force between the plates of a parallel plate capacitor of capacitance C, distance between plates d and potential difference V is:CUET 2023 Medium
- The points on the curve \(9 y^2=x^3\) where normal to the curve makes equal intercepts with the axes is/are:CUET 2023 Easy
- The complex \([\text{Co(NH}_3)_4(\text{NO}_2)_2]\text{Cl}\) exhibits :
A. Coordination isomerism
B. Linkage isomerism
C. Solvate isomerism
D. Ionisation isomerism
E. Geometrical isomerism
Choose the correct answer from the options given below :CUET 2023 Medium - For an astronomical telescope with 10 m focal length objective and 10 cm eyepiece, tube length and magnification are :CUET 2024 Hard
- The elucidation of the lac operon was the result of close association between the geneticist _________ and the biochemist _________.CUET 2023 Medium
- A concave mirror of focal length 6 cm is placed at a distance 'd' from the convex lens of focal length 8 cm. A beam of light coming from infinity and falling on this convex lens-concave mirror combination returns to infinity. The distance 'd' must be equal to:CUET 2023 Hard