Derivative graphs hellpp! (1 Viewer)

[memo15]

Heyy
Whats the general rules for drawing the derivative of a graph ie turning points become..? points of infections become..? intercepts become..?

thanks

 

[tambam]

- Stationary points in the original graph --> cuts the x axis at y= zero directly above or below ie. y'=0
- If the tangents before or after the stationary point are negative -->then the derivative graph will be below the x axis. ie. y'<0
- If the tangents before or after the stationary point are positive --> then the derivative graph will be above the x axis. ie. y'>0
- The x position of the Points of inflexion --> becomes the position of the stationary points of your derivative graph

* Basically just remember that if the original function is x^3 (cubic graph) then derivative function will be in the form of x^2 which is a parabola
* x^2 will become a diagonal straight line
* A diagonal straight line will become a horizontal straight line.

Hope that helps

 

[memo15]

Ommgg thannkks you heeaapppsssss

 

[umz93]

What about asymptotes??

 

[funnytomato]

What about asymptotes??

horizontal- the derivative approaches 0 , from either +ve or -ve side
vertical- the derivative appoaches +/-ve infinity
oblique- it approaches the gradient of the asymtote

 

[Trebla]

Heyy
Whats the general rules for drawing the derivative of a graph ie turning points become..? points of infections become..? intercepts become..?

thanks

Just thought I'd point that out lol