tangent to (a) graph
1Tangent — 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… …
2tangent 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… …
3Vertical tangent — In mathematics, a vertical tangent is tangent line with infinite slope, thus being vertical. Definition Suppose the function fnof; ( x ) hold the point P ( c , fnof; ( c )). The graph of fnof; has a vertical tangent at P if one of the following… …
4Logarithm — The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3) …
5analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …
6Legendre transformation — f(x) . The function is shown in red, and the tangent line at point (x 0, f(x 0)) is shown in blue. The tangent line intersects the vertical axis at (0, f^star) and f^star is the value of the Legendre transform f^star(p 0) , where p 0=dot{f}(x 0) …
7Exponential function — The natural exponential function y = ex In mathematics, the exponential function is the function ex, where e is the number (approximately 2.718281828) such that the function ex is its own derivative …
8Mean value theorem — For the theorem in harmonic function theory, see Harmonic function#Mean value property. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …
9slope — 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 …
10Linear approximation — In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). DefinitionGiven a differentiable function f of one real variable, Taylor s theorem for n =1 states that …
