taiwan-gsat 2024 Q15

taiwan-gsat · Other · ast__math-a 2 marks Chain Rule Straightforward Polynomial or Basic Differentiation
On the coordinate plane, let $\Gamma$ be the graph of the cubic function $f(x) = x^{3} - 9x^{2} + 15x - 4$. Which of the following is the derivative of $f(x)$? (Single choice, 2 points)
(1) $x^{2} - 9x + 15$
(2) $3x^{3} - 18x^{2} + 15x - 4$
(3) $3x^{3} - 18x^{2} + 15x$
(4) $3x^{2} - 18x + 15$
(5) $x^{2} - 18x + 15$
On the coordinate plane, let $\Gamma$ be the graph of the cubic function $f(x) = x^{3} - 9x^{2} + 15x - 4$.\\
Which of the following is the derivative of $f(x)$? (Single choice, 2 points)\\
(1) $x^{2} - 9x + 15$\\
(2) $3x^{3} - 18x^{2} + 15x - 4$\\
(3) $3x^{3} - 18x^{2} + 15x$\\
(4) $3x^{2} - 18x + 15$\\
(5) $x^{2} - 18x + 15$