This week in calc we took 2 more ap tests then went over them again. and did corrections with the help of john, thanks!
here's a review:
TANGENT LINES:
1. Take the derivative of the equation
2. Plug in the x value, which gives you your slope
3. Use the slope and the point given and plug into slope intercept form
**if a point is not given and only an x value is given plug the x value into the original which will give you a y value. & THER'S YOUR POINT
SUBSTITUTION:
1. Find u & du
2. set u = whatever isn't the derivative
3. take the derivative of u
4. substitute back in
e integration:
very simple.
whatever e is raised to is your u, the derivative of u is du.
:)
IMPLICIT DERIVATIVE:
take derivative like normal, of both sides of the equation.
any derivative taken for y, mark with dy/dx behind it.
solve for dy/dx
i don't know what to do whenever it says what is tangent to the line parallel to something. i know it's probably simple, but i always leave those questions blank!
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For questions that ask for find the equation that is tangent to the graph and parallel to another line you have to take the slope of the line that is parallel and set it equal to the derivative of the graph's equation. Next you solve for x then you plug your x value in your original equation and find your y value. After that you just form your equation.
ReplyDeleteyou just take the slope of the parallel line and set it = to the derivative of the first equation. then you solve for x and y and form the equation
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