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The constant multiple rule is a special case of the product rule where one factor is a constant $c$. Geometrically, multiplying a function by a constant scales its output heights (and thus its area strips) by $c$.

Conditions: $c$ is a constant.; The function $f$ is differentiable.

The constant multiple rule is a special case of the product rule where one factor is a constant $c$. Geometrically, multiplying a function by a constant scales its output heights (and thus its area strips) by $c$.

Conditions: $c$ is a constant.; The function $f$ is differentiable.