Homework Sourse13 Consider the function fx 1xx 1 Find the subintervals of
13)
Consider the function
f(x) = 1/(x(x + 1))
Find the subintervals of monotonicity of f within the interval [-2,4].
First, calculate the derivative of f(x):
f \'(x) =
Consider the function
f(x) = 1/(x(x + 1))
Find the subintervals of monotonicity of f within the interval [-2,4].
First, calculate the derivative of f(x):
f \'(x) =
Solution
factorising f(x)= 1/x - 1/(x+1) monotonically decreasing interval is [1,4] first derivative of f(x) is f`(x) = -x^-2 + (x+1)^-2![13) Consider the function f(x) = 1/(x(x + 1)) Find the subintervals of monotonicity of f within the interval [-2,4]. First, calculate the derivative of f(x): f](/WebImages/35/13-consider-the-function-fx-1xx-1-find-the-subintervals-of-1102211-1761582636-0.webp "13) Consider the function f(x) = 1/(x(x + 1)) Find the subintervals of monotonicity of f within the interval [-2,4]. First, calculate the derivative of f(x): f")
