Question:medium
If \( y = \frac{x}{x+1} + \frac{x+1}{x} \), then \( \frac{d^2y}{dx^2} \) at \( x=1 \) is equal to
If \( y = \frac{x}{x+1} + \frac{x+1}{x} \), then \( \frac{d^2y}{dx^2} \) at \( x=1 \) is equal to
Show Hint
Always simplify rational expressions before differentiating.
Updated On: May 8, 2026
- \( \frac{7}{4} \)
- \( \frac{7}{8} \)
- \( \frac{1}{4} \)
- \( -\frac{7}{8} \)
- \( -\frac{7}{4} \)
Show Solution
The Correct Option is B
Solution and Explanation
Was this answer helpful?
0
Top Questions on Second Order Derivative
- If $t = e^{2x}$ and $y = \ln(t^2)$, then $\frac{d^2 y}{dx^2}$ is:
- CUET (UG) - 2024
- Mathematics
- Second Order Derivative
- The second-order derivative of which of the following functions is $5^x$?
- CUET (UG) - 2024
- Mathematics
- Second Order Derivative
- If \[ y = \frac{x}{x+1} + \frac{x+1}{x}, \] then \[ \frac{d^2 y}{dx^2} \text{ at } x = 1 \text{ is equal to:} \]
- BITSAT - 2018
- Mathematics
- Second Order Derivative
- Let \(y = e^{2x}\). Then \(\frac{d^2 y}{dx^2} \cdot \frac{d^2 x}{dy^2}\) is:
- BITSAT - 2018
- Mathematics
- Second Order Derivative
- Want to practice more? Try solving extra ecology questions todayView All Questions
