How do u find out critical points when graphing a graph. I know how to find out the vertex and zeros/roots. I need help find out critical points so the graph can be more exact. Please Help me.
Critical points are those points on a graph at which a line dran tangent to the curve is horizontal or vertical. Please help me!
2007-11-13 11:41:56 · 10 answers · asked by Ballerina 5 in Science & Mathematics ➔ Mathematics
Take the first derivative of the function. Find the roots of the first derivative. These will either be maximums, minimums or points of inflection.
I am assuming that you are doing this for a calculus class & know how to take the derivative.
2007-11-13 11:46:27 · answer #1 · answered by Ranto 7 · 0⤊ 0⤋
A horizontal tangent line indicates a relative maximum or relative minimum. Assuming you are graphing an equation, you can find relative maxima/minima by setting the first derivative to 0.
2007-11-13 11:45:22 · answer #2 · answered by DWRead 7 · 1⤊ 0⤋
Been quite a while since i've done any maths. But if memory serves me correct you need to differentiate and calculate at what points this equals 0. As when it equals 0 there is no gradient thus the tangent would be horizontal.
2007-11-13 11:46:25 · answer #3 · answered by Anonymous · 1⤊ 0⤋
In general, you find critical points by taking the derivative.
Horizontal tangents occur where the first derivative is zero.
Vertical tangents occur where the first derivative is unbounded (tends toward infinity).
2007-11-13 11:47:37 · answer #4 · answered by Anonymous · 0⤊ 0⤋
making a chart on a standard PCs of paper, use the one inch margin idea and that leaves you about 6 1/2 wide. pick a scale, like 1/4 inch = one foot so if it is 8 ft high, then 8 X 1/4 or 2 inches on your graph.
I hope that helps.
2007-11-13 11:48:13 · answer #5 · answered by John M 6 · 0⤊ 0⤋
Critical points are maximum and / or minimum points. Find out for which (x,y), f(x) is maximum or minimum from the graph.
If you know calculus, solve f'(x)=0 to find the critical points.
2007-11-13 11:51:32 · answer #6 · answered by cidyah 7 · 0⤊ 0⤋
post your actual mathematical graph here for more specific
lot of people here will help you
2007-11-13 11:45:45 · answer #7 · answered by CPUcate 6 · 0⤊ 1⤋
If it's an easy question, then why can't you answer it yourself? It doesn't seem easy to me.
2007-11-13 11:46:36 · answer #8 · answered by ? 5 · 0⤊ 0⤋
what do yu mean by critical
2007-11-13 11:45:11 · answer #9 · answered by Anonymous · 0⤊ 1⤋
ahhhhh.........what? i dont understand what u are saying
2007-11-13 11:45:25 · answer #10 · answered by ilikeitalot! 2 · 0⤊ 1⤋