Sketching a curve after differentiation
Using differentiation, find the turning points of the function y = x3 – 2x2 + 1 and sketch its curve.
Original post by Deannnn97
Using differentiation, find the turning points of the function y = x3 – 2x2 + 1 and sketch its curve.
What about it? Will I get paid if I do your homework for you? Show some attempt!
Original post by Deannnn97
Using differentiation, find the turning points of the function y = x3 – 2x2 + 1 and sketch its curve.
dy/dx = 3x2 - 4x
= x(3x - 4)
Turning points are (0,0) (1.33,0)
(edited 7 years ago)
Original post by Trapz99
dy/dx = 3x2 - 4x
= x(3x - 4)
Turning points are (0,0) (1.33,0)
= x(3x - 4)
Turning points are (0,0) (1.33,0)
Thanks, so would this be a u shape or a n shape? I am not sure whether the shape comes from the +/-x or the +/- of the number?
Original post by Trapz99
dy/dx = 3x2 - 4x
= x(3x - 4)
Turning points are (0,0) (1.33,0)
= x(3x - 4)
Turning points are (0,0) (1.33,0)
You missed a step, you need to sub the x values back into y to find the y coordinates at the stationary point.
Original post by Deannnn97
Thanks, so would this be a u shape or a n shape? I am not sure whether the shape comes from the +/-x or the +/- of the number?
Neither, it's a cubic curve.
Original post by Trapz99
No I didn't miss anything.
It's not a cubic curve. 3x2 - 4x doesn't have any cube
It's not a cubic curve. 3x2 - 4x doesn't have any cube
That's
The curve is written in the OP.
Original post by Trapz99
Sorry I misread the question.
When you draw the graph for x3 - 2x2 + 1 that's a cubic curve and not u or n shaped
When you draw the graph for x3 - 2x2 + 1 that's a cubic curve and not u or n shaped
you need to sub your X values into the original equation for the stationary points, not the differential
Original post by Bananapeeler
you need to sub your X values into the original equation for the stationary points, not the differential
Lol yeah I messed up
Original post by RDKGames
What about it? Will I get paid if I do your homework for you? Show some attempt!
Homework at this time of year?
Original post by ODES_PDES
Homework at this time of year?
Perhaps the summer schools are stepping it up a notch.
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