in order for a function to have a derivative, does that function has to be continous? please explain this to me, thanks
2006-09-17 13:44:10 · 4 answers · asked by Reginald a 1 in Science & Mathematics ➔ Mathematics
No.
A function can have uncontinous sections that will not have a derivative. However, other sections of the function can/will have a dirivative...
2006-09-17 13:49:21 · answer #1 · answered by MB_Bailey 3 · 1⤊ 0⤋
You drop the y because of the fact the slope of 7x is 7 The operation is addition so which you upload the derivatives, so which you may discover the by-manufactured from 7y and upload it to the by-manufactured from others. Given a linear equation y=6x, what's the slope? what's a spinoff? a spinoff is the slope of a factor, however the functionality is LINEAR, so it is not appropriate what the factor is, its in simple terms the slope. that's additionally the reason at the back of the by-manufactured from constants as 0. y=6 The functionality is linear. Slope=0 derivative=comparable element, 0
2016-10-15 02:47:12 · answer #2 · answered by binnu 4 · 0⤊ 0⤋
Yes.
At any given point, the derivative equals the slope of the function. Where there's a discontinuity, the function doesn't have a single defined slope, so you can't determine a derivative at such points.
2006-09-17 13:47:45 · answer #3 · answered by Bramblyspam 7 · 0⤊ 0⤋
It has to be continuous at the value at which you are taking a derivative.
A discontinuity would produce a strange answer like infinity.
2006-09-17 13:48:01 · answer #4 · answered by Anonymous · 0⤊ 0⤋