Quotient Rule with a Table of Values

Question

The table below gives values for the twice-differentiable functions $$f$$ and $$g$$ and their derivatives at $$x = 2$$.

| $$x$$ | $$f(x)$$ | $$f'(x)$$ | $$f''(x)$$ | $$g(x)$$ | $$g'(x)$$ | $$g''(x)$$ |
|-----|--------|---------|----------|--------|---------|----------|
|  2  |   4    |   -3    |    3     |  -2    |    5    |    1     |

If the function $$h$$ is defined by $$h(x) = \displaystyle\frac{f'(x)}{g(x)}$$, what is the value of $$h'(2)$$?

Accepted Answer

$$\displaystyle\frac{9}{4}$$

Answer

$$\displaystyle\frac{3}{5}$$

Answer

$$-\displaystyle\frac{21}{4}$$

Answer

$$-\displaystyle\frac{3}{2}$$

Quotient Rule with a Table of Values

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