Quotient Rule Using a Table

Question

The table below provides values for the twice-differentiable functions $$f$$ and $$g$$, and their derivatives, at $$x = 3$$.

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

If $$h(x) = \displaystyle\frac{g'(x)}{f(x)}$$, what is the value of $$h'(3)$$?

Accepted Answer

$$-\displaystyle\frac{7}{4}$$

Answer

$$\displaystyle\frac{1}{4}$$

Answer

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

Answer

$$\displaystyle\frac{5}{4}$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	haneesh19.12	1	2	0m 00s	90
#2	richa.tuli	1	1	1m 38s	2
#3	songqiuhui2012	1	1	2m 39s	-59
#4	yeejayc	1	1	2m 56s	-76
#5	alexaserrano2008	1	1	4m 08s	-148
#6	berraoner2009	1	1	4m 15s	-155
#7	suhanakochhar006	0	1	5m 40s	-350

Quotient Rule Using a Table

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