How do you find the average rate of change of $f (x) = tan (x)$ $f(x) = tan(x)$ from $x = 0$ $x=0$ to $x = \frac{π}{4}$ $x=pi/4$ ?

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How do you find the average rate of change of $f (x) = tan (x)$ $f(x) = tan(x)$ from $x = 0$ $x=0$ to $x = \frac{π}{4}$ $x=pi/4$ ?

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Answer 1 · 2014-09-13T03:41:43

The average rate of change of $f (x) = tan x$ $f(x)=tanx$ is
$\frac{f (\frac{π}{4}) - f (0)}{\frac{π}{4} - 0} = \frac{1}{\frac{π}{4}} = \frac{4}{π}$ ${f(pi/4)-f(0)}/{pi/4-0}=1/{pi/4}=4/pi$

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How do you find the average rate of change of $f (x) = tan (x)$ $f(x) = tan(x)$ from $x = 0$ $x=0$ to $x = \frac{π}{4}$ $x=pi/4$ ?

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How do you find the average rate of change of f(x)=tan(x)f(x) = tan(x) from x=0x=0 to x=π4x=pi/4?

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How do you find the average rate of change of $f (x) = tan (x)$ $f(x) = tan(x)$ from $x = 0$ $x=0$ to $x = \frac{π}{4}$ $x=pi/4$ ?