Question: Find (?) Let fbe a function. Consider the function A(t)=1/t (upper=t,lower=0) f(x)dx, which gives the average off on the interval [0,t] , for t>0 .

Find (?)

Let fbe a function. Consider the functionA(t)=1/t(upper=t,lower=0) f(x)dx,which gives the average off on the interval[0,t], fort>0.

Suppose that Ahas a local maximum att=b, thenA'(b)=0.

Now, the formula for A'(t)=(?)-(1/t^2)(upper=t,lower=0) f(x)dx=1/t((?)-A(t))

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