CUET PYQs for Differential Calculus with Solutions: Practice CUET Previous Year Questions

Content Writer | Journalism Graduate | Updated 3+ months ago

Differential Calculus is an important topic in the Mathematics section in CUET exam. Practising this topic will increase your score overall and make your conceptual grip on CUET exam stronger.

This article gives you a full set of CUET PYQs for Differential Calculus with explanations for effective preparation. Practice of CUET Mathematics PYQs including Differential Calculus questions regularly will improve accuracy, speed, and confidence in the CUET 2026 exam.

CUET PYQs for Differential Calculus with Solutions

1.
If $ e^y = x^x $, then which of the following is true?
- $ y \frac{d^2y}{dx^2} = 1 $
- $ \frac{d^2y}{dx^2} - y = 0 $
- $ \frac{d^2y}{dx^2} - \frac{dy}{dx} = 0 $
- $ y \frac{d^2y}{dx^2} - \frac{dy}{dx} + 1 = 0 $
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2.
If y = 3e2x + 2e3x, then $\frac{d^2y}{dx^2} + 6y$ is equal to
- $\frac{dy}{dx}$
- $5\frac{dy}{dx}$
- $6\frac{dy}{dx}$
- $30\frac{dy}{dx}$
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3.
If y = 3e2x + 2e3x, then $\frac{d^2y}{dx^2} + 6y$ is equal to
- $\frac{dy}{dx}$
- $5\frac{dy}{dx}$
- $6\frac{dy}{dx}$
- $30\frac{dy}{dx}$
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4.
The equation of the tangent to the curve x^5/2+ y^5/2 = 33 at the point(1, 4) is:
- x + 8y − 33 = 0
- 12x + y − 8 = 0
- x + 8y − 12 = 0
- x + 12y − 8 = 0
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