# Difference Quotient Calculator

The calculator will find the difference quotient for the given function, with steps shown.

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Find the difference quotient for $$f{\left(x \right)} = x^{2} + 3 x + 5$$$. ## 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 $$x$$$: $$f{\left(x + h \right)} = \left(x + h\right)^{2} + 3 \left(x + h\right) + 5$$$.