Derivatives is an important topic in the Mathematics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.
This article gives you a full set of MHT CET PYQs for Derivatives with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including Derivatives questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.
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MHT CET PYQs for Derivatives with Solutions
1.
If \( y = \log_e \left[ e^{3x} \left( \frac{x - 4}{x + 3} \right)^{3/2} \right] \), then find \( \frac{dy}{dx} \):- \( 3 + \frac{21}{2(x - 4)(x + 3)} \)
- \( 3 + \frac{21}{(x - 4)(x + 3)} \)
- \( 3 + \frac{21}{2(x + 3)(x - 4)} \)
- \( 3 + \frac{7}{(x - 4)(x + 3)} \)
2.
If \( y = x^x + x^x \), then find \( \frac{dy}{dx} \):- \( x^x(\ln x + 1) \)
- \( 2x^x(\ln x + 1) \)
- \( x^x(\ln x - 1) \)
- \( 2x^x \ln x \)
3.
Given \( f'(1) = 3 \), \( f(1) = 1 \), and
\[ y = f\left(f(f(x))\right) + \left(f(x)\right)^2, \] then find \( \frac{dy}{dx} \) at \( x = 1 \).- \( 9 \)
- \( 12 \)
- \( 15 \)
- \( 18 \)
4.
If $ y = \frac{b}{a} $, then $ \frac{dy}{dx} $ is:- \( -\frac{b^4}{a} \)
- \( \frac{b^5}{a} \)
- \( -\frac{b^5}{a^2 y^3} \)
- \( \frac{b^5}{a^2} \)
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