Ranking Derivative Values at a Point

Question

Consider the functions $$f(x)=x^3-3x^2+2x$$, $$g(x)=2x^3-9x^2+12x$$, $$h(x)=x^3-6x^2+11x-6$$, and $$p(x)=3x^3-12x^2+11x+1$$. Which of the following lists the values of $$f'(2)$$, $$g'(2)$$, $$h'(2)$$, and $$p'(2)$$ in ascending order?

Accepted Answer

-1, -1, 0, 2

Answer

2, 0, -1, -1

Answer

Calculating the derivatives yields f'(2)=2, g'(2)=0, and both h'(2) and p'(2) = -1; arranged from smallest to greatest: -1, -1, 0, 2.

Answer

0, -1, 2, -1

Ranking Derivative Values at a Point

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