f(x) D E A B The graph of a function f(x) is shown above. Q8.1 Multiple choice 1 Point At which point A, B, C, D, or E is it true that f' (x) and f"(x) are both positive? O Point A O Point B Point C Point D Point E
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
We have given with graph of f(x), and the points A, B, C, D, E on it.
We know that, if slope of the tangent at a point is positive then the derivative of function at that point
is also positive.
Here we can easily observed that at point B on graph of f(x), the slope of tangent to f(x) at point B is positive.
(Because tangent line at point B is increasing)
f'(x) is positive at point B.
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