The Calculus with Analytic Geometry |
Common terms and phrases
absolute minimum value angle antiderivative axis chain rule closed interval cos² cost function critical numbers curve decreasing defined by f(x definite integral derivative determine differentiable dollars domain of ƒ Draw a sketch EXAMPLE Exercises exists f(x₁ FIGURE Find an equation Find the volume formula ft/sec function defined function ƒ function values ƒ and g ƒ is continuous Given f(x graph is concave graph of ƒ horizontal ILLUSTRATION inequality L₁ L₂ length lim Ax-0 lim f(x Limit Theorem m₁ marginal cost marginal revenue maximum obtain open interval parabola point of inflection proof radius rate of change real numbers rectangle region bounded relative extremum relative minimum value Riemann sum Rolle's theorem satisfied sec² Section shown in Fig sin² slope solid of revolution SOLUTION square units tangent line total cost triangle value of ƒ vertical x₁ y₁ zero