Questions and Answers
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.
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