Derivative of A Constant

Derivative Of A Constant

In calculus, the derivative of a constant function is zero (A constant function is one that does not depend on the independent variable, such as f(x) = 7).

The rule can be justified in various ways. The derivative is the slope of the tangent to the given function's graph, and the graph of a constant function is a horizontal line, whose slope is zero.

Read more about Derivative Of A Constant:  Proof, Antiderivative of Zero

Famous quotes containing the words derivative and/or constant:

    Poor John Field!—I trust he does not read this, unless he will improve by it,—thinking to live by some derivative old-country mode in this primitive new country.... With his horizon all his own, yet he a poor man, born to be poor, with his inherited Irish poverty or poor life, his Adam’s grandmother and boggy ways, not to rise in this world, he nor his posterity, till their wading webbed bog-trotting feet get talaria to their heels.
    Henry David Thoreau (1817–1862)

    Love can no more continue without a constant motion than fire can; and when once you take hope and fear away, you take from it its very life and being.
    François, Duc De La Rochefoucauld (1613–1680)