Español | Português
  1. Home
  2. Calculators
  3. Calculators: Calculus I
  4. Calculus Calculator

Difference quotient for $$$f{\left(x \right)} = 10 x - 50$$$

The calculator will find the difference quotient for the function $$$f{\left(x \right)} = 10 x - 50$$$, with steps shown.

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.

Your Input

Find the difference quotient for $$$f{\left(x \right)} = 10 x - 50$$$.

Solution

The difference quotient is given by $$$\frac{f{\left(x + h \right)} - f{\left(x \right)}}{h}$$$.

To find $$$f{\left(x + h \right)}$$$, plug $$$x + h$$$ instead of $$$x$$$: $$$f{\left(x + h \right)} = 10 \left(x + h\right) - 50$$$.

Finally, $$$\frac{f{\left(x + h \right)} - f{\left(x \right)}}{h} = \frac{\left(10 \left(x + h\right) - 50\right) - \left(10 x - 50\right)}{h} = 10$$$.

Answer

The difference quotient for $$$f{\left(x \right)} = 10 x - 50$$$A is $$$10$$$A.