the slope of the tangent to the curve

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• Slope — is used to describe the steepness, incline, gradient, or grade of a straight line. A higher slope value indicates a steeper incline. The slope is defined as the ratio of the rise divided by the run between two points on a line, or in other words …   Wikipedia

• Tangent — For the tangent function see trigonometric functions. For other uses, see tangent (disambiguation). In geometry, the tangent line (or simply the tangent) to a curve at a given point is the straight line that just touches the curve at that point… …   Wikipedia

• tangent — /tan jeuhnt/, adj. 1. in immediate physical contact; touching. 2. Geom. a. touching at a single point, as a tangent in relation to a curve or surface. b. in contact along a single line or element, as a plane with a cylinder. 3. tangential (def.… …   Universalium

• slope — slopingly, adv. slopingness, n. /slohp/, v., sloped, sloping, n. v.i. 1. to have or take an inclined or oblique direction or angle considered with reference to a vertical or horizontal plane; slant. 2. to move at an inclination or obliquely: They …   Universalium

• tangent line — In geometry, a line that intersects a circle exactly once; in calculus, a line that touches a curve at one point and whose slope is equal to that of the curve at that point. Particularly useful as approximations of curves in the immediate… …   Universalium

• slope — [slōp] n. [ME < aslope, sloping (mistaken as a slope) < OE aslopen, pp. of aslupan, to slip away < slupan, to glide: see SLOOP] 1. a piece of ground that is not flat or level; rising or falling ground 2. any inclined line, surface,… …   English World dictionary

• slope — I. adjective Etymology: Middle English sloop, probably from aslope, adverb, at an angle Date: 15th century that slants ; sloping often used in combination < slope sided > II. verb (sloped; sloping) Date: 1591 …   New Collegiate Dictionary

• Tangent modulus — In solid mechanics, the tangent modulus is the slope of the compression stress strain curve at any specified stress or strain. Below the proportional limit the tangent modulus is equivalent to Young s modulus. Above the proportional limit the… …   Wikipedia

• slope — [[t]sloʊp[/t]] v. sloped, slop•ing, n. 1) to have an inclined or oblique direction or angle, esp. with reference to a horizontal plane; slant 2) to move at an inclination or obliquely 3) to cause to incline from the horizontal or vertical 4) to… …   From formal English to slang

• Cost curve — In economics, a cost curve is a graph of the costs of production as a function of total quantity produced. In a free market economy, productively efficient firms use these curves to find the optimal point of production (minimising cost), and… …   Wikipedia

• Dual curve — Curves, dual to each other; see below for properties. In projective geometry, a dual curve of a given plane curve C is a curve in the dual projective plane consisting of the set of lines tangent to C. There is a map from a curve to its dual,… …   Wikipedia