Is the graph of f the derivative of a function f On what int

Is the graph of f\', the derivative of a function f. On what interval(s) is the function f Increasing? Decreasing? The average weight w of an oak tree in kilograms that is x meters tall is given by the function w = f(x). What are the units of measurement of f\'(x)?

Solution

22. Solution:

(a) for increasing interval of function f can described in the graph where slope of graph ie f\' is positive

we can see that f\' >0

for x₁< x <x₃

(b) for decreasing interval of function f can be described in the graph where slope is ie f\' is negative

we can see that f\'<0

for x < x₁

and x₃< x < x₅

Answer

(23) Average weight w of an oak w = f(x)

that means weight depends on the height of x

f\'(x) = d/dx(W) = Kilogram/ meter

answer : Kilogram/ meter