Quotient Rule with Tabular Data

Question

The table below gives selected values for the twice-differentiable functions $$f$$ and $$g$$ and their derivatives at $$x = -1$$:

| $$x$$ | $$f(x)$$ | $$f'(x)$$ | $$f''(x)$$ | $$g(x)$$ | $$g'(x)$$ | $$g''(x)$$ |
|-----|--------|---------|----------|--------|---------|----------|
| -1  |   6    |    1    |   -3     |   2    |   -2    |    4     |

Let $$h$$ be the function defined by $$h(x) = \displaystyle\frac{g(x)}{f(x) - g(x)}$$. What is the value of $$h'(-1)$$?

Accepted Answer

$$-\displaystyle\frac{7}{8}$$

Answer

$$\displaystyle\frac{5}{8}$$

Answer

$$\displaystyle\frac{1}{2}$$

Answer

$$-\displaystyle\frac{3}{8}$$

Quotient Rule with Tabular Data

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