CUET Mathematics 2026 14th May Shift 2 PYQs

For which of the following real functions, $x=0$ is a point of local maxima?

(A) $f(x)=4x^4-3x^3-2x^2+1$

(B) $f(x)=3x^5+\sqrt{2}x^4-7x^2+4$

(C) $f(x)=5x^4-3x^2+e$

(D) $f(x)=-3x^3+2x^2-9$

Choose the correct answer from the options given below:

The interval in which $f(x)=\frac{x}{\log x}$ is increasing, is:

The equation of tangent to the curve $x = a \cos^3 t, y = a \sin^3 t$ at t is :