Question:
If x = 4t2, \(y=\frac{3}{t^3}\), then \(\frac{d^2y}{dx^2}\) at t = 1 is :
If x = 4t2, \(y=\frac{3}{t^3}\), then \(\frac{d^2y}{dx^2}\) at t = 1 is :
Updated On: Feb 28, 2025
- \(\frac{15}{8}\)
- \(\frac{2}{3}\)
- \(\frac{15}{16}\)
- \(\frac{45}{64}\)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D) :\(\frac{45}{64}\).
Was this answer helpful?
0
0
Top Questions on Second Order Derivatives
- If \(y=x^3\log x, then\ \frac{d^2y}{dx^2}\) is:
- CUET (UG) - 2023
- Mathematics
- Second Order Derivatives
- If x=5t and \(y=\frac5t,\) then \(\frac{d^2y}{dx^2}\) at t=1 is
- CUET (UG) - 2023
- Mathematics
- Second Order Derivatives
- If f(x) is a function which is derivable in an interval 1 containing a point c, then match List I with List II.Choose the correct answer from the options given below :
List I List II A. f(x) has second order derivate at x = c such that f'(c) = 0 and f'(c) < 0; then I. point of inflexion of f(x) B. Necessary condition for point x = c to be extreme point of f(x) is II. ‘c’ is point of local minima of f(x) C. If f'(x) does not change its sign as x crosses the point x = c then it is called a III. c is a critical point of f(x) D. f(x) has second order derivate at x = c such that f'(c) and f'(c) > 0; then IV. ‘c’ is point of local maxima of f(x) - CUET (UG) - 2023
- Mathematics
- Second Order Derivatives
- If \(x = \frac{1}{t^2}\) and \(y =\frac{1}{t^3}\), then \(\frac{d^2y}{dx^2}\) at \(t=1\) is:
- CUET (UG) - 2023
- Mathematics
- Second Order Derivatives
- If \(x = e^{y+e^y+.... to \space ∞}, x> 0\) then \(\frac{d^2y}{dx^2}\) is:
- CUET (UG) - 2023
- Mathematics
- Second Order Derivatives
Questions Asked in CUET exam
- If $\sin A = \frac{4}{5}$, then $(3 − \tan A)(2 + \cos A)$ is:
- CUET (UG) - 2024
- Trigonometry
- The corner points of the feasible region determined by $x + y \leq 8$, $2x + y \geq 8$, $x \geq 0$, $y \geq 0$ are $A(0, 8)$, $B(4, 0)$, and $C(8, 0)$. If the objective function $Z = ax + by$ has its maximum value on the line segment $AB$, then the relation between $a$ and $b$ is:
- CUET (UG) - 2024
- Linear Programmig Problem
- If the value of the investment multiplier is 5, and the increased income is ₹800 crore, find the change in investment.
- CUET (UG) - 2024
- Return on investment
- Match List-I with List-II:Choose the correct answer from the options given below:
List-I
List-II
A Megaliths (I) Decipherment of Brahmi and Kharoshti B James Princep (II) Emerged in first millennium BCE C Piyadassi (III) Means pleasant to behold D Epigraphy (IV) Study of inscriptions - CUET (UG) - 2024
- Political and Economic History
- From the given options, which pass connects Jammu with Srinagar?
- CUET (UG) - 2024
- Static GK
View More Questions