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Difference Quotient Calculator

Compute [f(x + h) − f(x)] / h for any function, see the derivative it approaches as h → 0, and a secant-line graph.

[ f(x + h) − f(x) ] / h
f(x) at x = x , h = h

The difference quotient is [f(x + h) − f(x)] / h — the average slope over a step of size h. As h → 0 it approaches the derivative.

Results

Difference quotient
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f(x)
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f(x + h)
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[f(x+h) − f(x)] / h
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Derivative estimate (h → 0)
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Graph — secant of step h

f(x)secantpoints

Step-by-step