AP Calc Flashcards
Terms : Hide Images [1]
5256245207 | 0/20= | Zero! | 0 | |
5256248015 | 0/x= | Zero! | 1 | |
5437873135 | 20/0 | Undefined! | 2 | |
5437876432 | xy/0 | Undefined! | 3 | |
5437878911 | Product Rule | Use 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 | |
5437894323 | Product Rule | ![]() | 5 | |
5437899690 | Quotient Rule | When 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^2 | 6 | |
5437909769 | Quotient Rule | ![]() | 7 | |
5437926449 | Postion function | help find height or distance | 8 | |
5437930242 | Velocity Function | Derivate of the position function | 9 | |
5437939893 | F(x)=y | x is the value of x that you plug in to solve for your y-value | 10 | |
5437946938 | F'(x)=y | The derivative of our function at point x is equal to y-value of the derivative, (the slope of the original function) | 11 | |
5437976935 | Negatives Values | -4+-5=-9 Negative plus a negative =negative | 12 | |
5437983200 | Choose a point to the left and right of -4 | Left: -4.01 Right: -3.99 | 13 | |
5437989937 | Choose a point to the left and right of -1050 | Left: -1050.01 Right: -1049.99 | 14 | |
5438000943 | Draw Negative on a Number Line | ![]() | 15 | |
5438006773 | Domain | all x-values | 16 | |
5438006774 | Range | all y-values | 17 | |
5438126529 | When to consider a constant in taking the derivative | If it's multiplication or division, but if it's addition or subtraction you wouldn't consider it | 18 | |
5438145743 | How do you find the velocity with derivatives? | Take derivative of the original function that represents position | 19 | |
5438151681 | How 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 height | 20 | |
5438158085 | What is the variable in velocity and position function? | t, time | 21 | |
5438286951 | Derivative | Slope of tangent line | 22 | |
5438298116 | Finding a normal line | 1) 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 2 | 23 | |
5438301807 | Normal line | line that is perpendicular to our tangent line | 24 |