Calculus and Analytic Geometry |
Contents
Applications of Derivatives | 4 |
Functions | 9 |
Limits and Continuity 39 | 117 |
Copyright | |
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a₁ angle antiderivative apply approximation axis calculate chain rule circle closed interval compute constant continuous function converges coordinates critical points curve cylinder decimal places defined definition denote differentiable distance domain ellipse equation evaluate EXAMPLE formula ft/s function f(x ƒ and g given gives height Hence horizontal improper integral integral inverse function l'Hôpital's rule length lim f(x lim h→0 limit local maximum maximum mean value theorem minimum value Newton's method open interval parabola parametric partial derivatives perpendicular plane polynomial Problems proof radius rate of change real numbers rectangle rectangular result Riemann sum Section Show shown in Fig slope Solution square straight line subintervals substitution Suppose tangent line tank theorem tion triangle vector velocity vertical volume write x-axis x² dx y-axis zero