Question

Math

Posted 4 months ago

```
Compare.
f^{\prime}(-4) \text { _-- } f^{\prime}(-1)
Choose 1 answer:
(A) $<$
(B) $>$
```

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Answer from Sia

Posted 4 months ago

Solution by Steps

step 2

The slope of the tangent line at a point on a curve represents the derivative of the function at that point

step 3

Observing the graph, the tangent line at $(-4, -1)$ appears to be less steep (closer to horizontal) compared to the tangent line at $(-1, -5)$, which is steeper (more vertical)

step 4

Therefore, $f'(-4)$ is less than $f'(-1)$

A

Key Concept

Comparing derivatives

Explanation

The derivative at a point on a curve represents the slope of the tangent line at that point. By comparing the steepness of the tangent lines at the given points, we can determine the relative values of the derivatives.

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