L. Eastman
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L. Eastman
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CalculusDifferentiationThe derivative is the instantaneous rate of change ofa function with respect to one of its variables.RulesQuotient RuleProduct RuleComposition RuleAddition and SubtractionPrimitive DerivativesFirst PrincipleLimitsTestsFirst DerivativeSecond DerivativeInflection PointEquations and GraphTangent LineDifferentiate given equationPlug in "X" valueNormal LineSlope= --1/tangent lineslope=SlopeReplace slope, "x" and "y" in the equation y=mx+cFind "c"State equationReplace slope, "x" and "y" in the equation y=mx+cFind "c"StateequationNotationf'(a)Relation b/w Slope of Tangent and NormalRelation b/w displacement, Velocity and AccelerationIntegralsIndefinite: an integral expressed withoutlimits, and so containing an arbitraryconstant.Definite: an integral expressed as the difference betweenthe values of the integral at specified upper and lowerlimits of the independent variable.Primitive IntegralsArea under the curveU SubstitutionDouble click this nodeto edit the textClick and drag this buttonto create a new node