"कलन": अवतरणों में अंतर
Content deleted Content added
अनुनाद सिंह (वार्ता | योगदान) |
अनुनाद सिंह (वार्ता | योगदान) |
||
पंक्ति 14:
अर्थात्
:<math>\lim_{h \to 0}{f(a+h) - f(a)\over{h}}.</math>
माना {{math|''f''(''x'') {{=}} ''x''<sup>2</sup>}} एक फलन है जिसका अवकल नीचे दिखाया गया है-
[[File:Sec2tan.gif|thumb|300px|The derivative {{math|''f′''(''x'')}} of a curve at a point is the slope of the line tangent to that curve at that point. This slope is determined by considering the limiting value of the slopes of secant lines. Here the function involved (drawn in red) is {{math|''f''(''x'') {{=}} ''x''<sup>3</sup> − ''x''}}. The tangent line (in green) which passes through the point {{nowrap|(−3/2, −15/8)}} has a slope of 23/4. Note that the vertical and horizontal scales in this image are different.]]
; उदाहरण
| |||