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Zooming in on Differences
NEW DERIVATIVES FROM OLD 159
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Af(x algebraic antiderivative antidifferentiation approximating sums axes calculus chain rule concave continuous function cos.v cosine functions decreasing defined definition derivative difference quotient distance E X A M P L E estimate Example EXAMPLE2 Explain exponential function expression fact Figure FIGURE2 Find an equation function f(x graph of g graphical HINT horizontal idea increasing inflection point inputs integral interval inverse Justify your answer Let f(x lim f(x line tangent linear function logarithm function mathematical maximum means meters midpoint minimum point minimum value natural domain Newton's method notation parabola parametric curve Plot polynomial problem properties quadratic quotient quotient rule rate of change real numbers rectangle result Riemann sum roots secant line Section shown shows signed area sin.v sine and cosine sine function slope field solution curves solve stationary points Suppose symbolic tangent line Taylor polynomial tion trigonometric functions v-axis velocity zooming