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AP Calc Flashcards

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52562452070/20=Zero!0
52562480150/x=Zero!1
543787313520/0Undefined!2
5437876432xy/0Undefined!3
5437878911Product RuleUse it when two things are being multiplied 1) Define a, b, and the derivative of a and b 2) Starting with b multiply in x pattern 3) Then add two products together if you can. Have to be same degree.4
5437894323Product Rule5
5437899690Quotient RuleWhen one function is divided by another 1) Define a, b, and the derivative of a and b 2) Starting with b multiply in x pattern 3) Subtract the two product 4) Put over b^26
5437909769Quotient Rule7
5437926449Postion functionhelp find height or distance8
5437930242Velocity FunctionDerivate of the position function9
5437939893F(x)=yx is the value of x that you plug in to solve for your y-value10
5437946938F'(x)=yThe derivative of our function at point x is equal to y-value of the derivative, (the slope of the original function)11
5437976935Negatives Values-4+-5=-9 Negative plus a negative =negative12
5437983200Choose a point to the left and right of -4Left: -4.01 Right: -3.9913
5437989937Choose a point to the left and right of -1050Left: -1050.01 Right: -1049.9914
5438000943Draw Negative on a Number Line15
5438006773Domainall x-values16
5438006774Rangeall y-values17
5438126529When to consider a constant in taking the derivativeIf it's multiplication or division, but if it's addition or subtraction you wouldn't consider it18
5438145743How do you find the velocity with derivatives?Take derivative of the original function that represents position19
5438151681How would for maximum height of an object?Set the derivative velocity= 0 and solve for time Then plug time back into the position function to find the height20
5438158085What is the variable in velocity and position function?t, time21
5438286951DerivativeSlope of tangent line22
5438298116Finding a normal line1) Find the derivative of the line 2) Go through and find the value of the derivative at given point 3) Find the negative reciprocal of the value you found in step 223
5438301807Normal lineline that is perpendicular to our tangent line24

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