In calculus, the first derivative test uses the first derivative of a function to determine whether a given critical point of a function is a local maximum, a local minimum, or neither.
Read more about First Derivative Test: Intuitive Explanation, Precise Statement of Monotonicity Properties, Precise Statement of First Derivative Test, Applications
Famous quotes containing the words derivative and/or test:
“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 Adams 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 (18171862)
“I am willing, for a money consideration, to test this physical strength, this nervous force, and muscular power with which Ive been gifted, to show that they will bear a certain strain. If I break down, if my brain gives way under want of sleep, my heart ceases to respond to the calls made on my circulatory system, or the surcharged veins of my extremities burstif, in short, I fall helpless, or it may be, dead on the track, then I lose my money.”
—Ada Anderson (1860?)