post # ten

This week in calc i learned two things, first and second implicit derivatives. These concepts are pretty basic to calc. they involve taking a derivative and solving an equation.

First derivative

1) take the derivative
2) everytime you take the derivative of y you note it by saying that it is y prime. You do this by putting one of two things. You can either put dy/dx or y^1.
3) Once you finish the derivative you then solve the equation for dy/dx of y prime. You do this by using simple algebriac skills.

Second Derivative

1) first you find the first derivative and solve it for dy/dx by using the steps for the first derivative steps.
2) you then take the second derivative of the solved equation. Plugging in d^2y/d^2x everytime you take the derivative of y again. and where you have dy/dx you plug in your solved equation for that.
3) once you have everything plugged in and ready to go you then solve for d^2y/d^2x
This is also done by using simple algebriac methods.

One thing that I still dont understand unfortunatly is taking the derivative of a graph. Like when they give you graph and say take the derivative. lol it messes with me like i know how to do i just cant apply it i always get it wrong...i need more help with this.