Find the second derivative $\frac{d^2y}{dx^2}$ of $y = \tan^{-1}x$.

University of Ilorin MTH102 2025A past question

1. $\frac{-2x}{(1+x^2)^2}$
2. $\frac{2x}{(1+x^2)^2}$
3. $\frac{-1}{(1+x^2)^2}$
4. $\frac{1}{(1+x^2)}$

Register free to see the answer and step-by-step explanation

More University of Ilorin MTH102 2025A past questions

Related questions

• Find the derivative of $y = x e^{-x^2}$.
• If $y = \cos 2t$ and $x = 2t + 5$, find $dy/dx$.
• If $y = \ln(x + x^7)$, find $dy/dx$ at $x = 1$.
• Differentiate $y = \ln(3x + 2)^5$ with respect to $x$.
• Find the fifth derivative of $y = e^{-2x} + x^4$.
• Let $f(x) = x^2 - 3x + 2$. Find $f(3) / f(4)$.