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Formula for curvature for a well behaved curve y=f(x) is
K(x)=
The given curve is y=7
k(x)=
For Maxima or Minima
→
[not possible ∵there exists no value of x satisfying these equation]
→
Solving this we get
x=
As you will evaluate <0 at x=
So this is the point of Maxima. we get y=7×1/√98=1/√2
(x,y)=[,1/√2]
k(x)=
k(x)=
k(x)=0
Answer:
where x₁ and x₂ are values in the interval [x,y] respectively
Step-by-step explanation:
Well, first to determine the average rate of change of a function, you should have the interval of the values of x for the function.
So lets assume you have a function;
And the interval as [1,3]
Then the average rate of change for the function f(x) will be;
where x₁ and x₂ are the interval coordinates x,y respectively. In this case x₁=1 and x₂=3
To find the average rate of change in this example will be;