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# The Derivative

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The derivative is one of the most important concepts in calculus, so make sure you understand it inside and out with these free resources from around the web. We have videos explaining derivative notion, instantaneous rate of change, and more.
 In this video, Salman Khan of Khan Academy explains derivatives. Part 8 of 9. Khan Academy Find the dimensions of the rectangle of largest area that as its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y=8-x^2 Tutor.com A water balloon launched at time t=0 has vertical velocity v(t) = -32t + 40 ft/sec at time t seconds, with v>0 corresponding to upward motion. a) if the roof of the building is 30 ft above the ground, find an expression for the height of the water balloon above the ground at time t. b) what is the average velocity of the balloon b/ween t+1.5 and 3 sec? c) a 6 ft person is standing on the ground. how fast is the water balloon falling when it strikes the person on the top o the head? Tutor.com A helpful scientific calculator that runs in your web browser window. Holt Online Learning In this video, Salman Khan of Khan Academy explains derivatives. Part 2 of 9. Khan Academy Excellent site showing examples of algebra, trig, calculus, differential equations, and linear algebra. Paul's Online Math Notes A very complete table of common formulas for derivatives and integrals as well as procedures. It is a pdf file document. Paul Online Math Notes Very extensive help sheet that contains everything from simple derivative/integration formulas, to quick explanations of advanced derivation and integration techniques. Pauls Online Math Notes Several example problems and tutorials dealing with differential calculus Pausl Online Math Notes In this video, Salman Khan of Khan Academy explains derivatives. Part 1 of 9. Khan Academy
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