English | Español
  1. Lar
  2. calculadoras
  3. calculadoras: cálculo I
  4. calculadora de cálculo

Calculadora de taxa média de variação

Encontre a taxa média de variação de uma função passo a passo

A calculadora encontrará a taxa média de variação da função dada no intervalo dado, com as etapas mostradas.

Enter a function:

Enter an interval: [, ]

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Solution

Your input: find the average rate of change of $$$f\left(x\right)=x^{2}$$$ on the interval $$$\left[1,3\right]$$$.

The average rate of change of $$$f\left(x\right)$$$ on the interval $$$[a,b]$$$ is $$$\frac{f(b)-f(a)}{b-a}$$$.

We have that $$$a=1$$$, $$$b=3$$$, $$$f\left(x\right)=x^{2}$$$.

Thus, $$$\frac{f(b)-f(a)}{b-a}=\frac{{\color{red}{\left(3\right)}}^{2}-\left({\color{red}{1}}^{2}\right)}{3-\left(1\right)}=4$$$.

Answer: the average rate of change is $$$4$$$.