post 19

i forgot bout the bllogs so ima do one now and one tonight hahaa

first off we have tangent lines
1. take f'(x)
2. plug x in to find your slope/m.
3. plug x into f(x)to get y
4. using m and (x,y) plug it into the equation (y-y1)=m(x-x1).

then we can talk bout implicit derivatives
1. take the derivative of both sides
2. everytime you take the derivative of y, note it with dy/dx or y'
3. solve for dy/dx

FIRST AND SECOND DER TEST :)
First Derivative:
1. take the derivative of both sides
2. everytime you take the derivative of y note it with dy/dx or y^1
3. solve for dy/dx

Second Derivative:

first you find the first derivative and solve it for dy/dx by using the steps for the first derivative steps.
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.
once you have everything plugged in and ready to go you then solve for d^2y/d^2x

IM NOT GOOD AT ANGLES OF ELEVATIOONNNNNNNNN!!!! OR OPTIMIZATION LOL