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History of the Derivative
The derivative has a complex history. ... The applications of the derivative are numerous: mathematics itself; it has uses in physics, chemistry, engineering, technology, sciences, economics, and much more, and many new applications are being devised every day.
The origin of the derivative resides in the classical geometric tangent problems. ... The actual formal method of finding a derivative to a function was still to come. ... Later it would be discovered that analysis employing the derivative would set a procedure for solving these types of physics problems. ... ) hinge on difficulties with understanding instantaneous velocity without having a grasp of the derivative. ... The introduction of algebraic symbols as a tool for studying the geometry of curves contributed significantly to the development of the derivative. ... This we know now, can be accomplished by taking a derivative and setting it equal o zero. ... Newton extended this technique as a method for finding the curvature of a curve, a feature that we now know is an application of the second derivative. ... He then perfected the modern formulas and notation for the derivative in his famous paper, "New methods for maximums and minimums, as well as tangents, which is neither impeded by fractional nor irrational quantities, and a remarkable calculus for them.
Approximate Word count = 925
Approximate Pages = 3.7
(250 words per page double spaced)
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