Maths and Physics Important Questions Quiz

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3 Questions

Which of the following best represents the derivative of $f(x) = 3x^2 + 2x - 5$ with respect to $x$?

$6x + 2$

In the equation $2x^3 - 4x^2 + 3x - 4 = 0$, what are the possible rational roots according to the rational root theorem?

$\pm1, \pm2, \pm4$

Which of the following correctly describes the relationship between electric field intensity and electric potential?

Electric field intensity is the negative gradient of electric potential.

Study Notes

Derivative of a Function

  • The derivative of f(x) = 3x^2 + 2x - 5 with respect to x represents the rate of change of the function.

Rational Root Theorem

  • The rational root theorem is used to find possible rational roots of a polynomial equation.
  • In the equation 2x^3 - 4x^2 + 3x - 4 = 0, the rational root theorem is used to find the possible rational roots.

Electric Field Intensity and Electric Potential

  • Electric field intensity and electric potential are related, with electric field intensity being the negative gradient of electric potential.

Test your knowledge with important questions from Class 12 maths and physics chapters. Evaluate your understanding of derivatives, rational roots, electric field intensity, and electric potential.

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