CUET Mathematics - If y = x (a + y), then dy/dx is equal to | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Calculus

Medium

core

$\frac{\cos^2(a + y)}{\cos a}$

$\frac{\cos a}{\cos^2(a + y)}$

$\frac{\sin^2 y}{\cos a}$

$\frac{\sin^2 y}{\cos^2(a + y)}$

✅ Correct Option: 1

Related questions:

13 May Shift 1

If $y = 3^x + e^x + x^x + x^3$ , then the value of $\frac{dy}{dx}$ at $x = 3$ is

13 May Shift 2

$f(x)=\begin{cases}\dfrac{|x|}{x},&x\ne0\\1,&x=0\end{cases}$

$g(x)=\begin{cases}x\sin\left(\dfrac{1}{x}\right),&x\ne0\\0,&x=0\end{cases}$

Then at the origin, which one of the following is true?

22 May Shift 1

Which of the following functions $f(x)$ are differentiable at $x = 0$ ?

(A) $|x|$

(B) $|x - 1|$

(D) $|x + 1|$

(E) $x^2$

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 2 PYQs