But what does a triple and quadruple differenciation of a function signify graphically??
I know its increasing or decreasing with first derivative, second tells concavity that means how much..
But whats the role of 3rd and 4th???
Stacey Warren - Expert brainly.com
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f''' is acceleration, and f'''' is called a jerk; the speed at which the acceleration is changing
all the derivatives combined tell us how a function is moving at a single point
\(f'''\) is a jerk? I think I am the \(f'''\) you are looking for :-)
That just prove sine function is an oscillating function..
nonetheless thank you to all!!
@amistre64 Though if I missed something in your post, Do point out..
i was just demonstrating that the successive derivatives of a function define how it is moving at a single point, and that 2 function that are equal at a single point, and equal at all their successive derivatives are the same at that point.
Since polynomials are so much easier to play with, if we can construct a polynomial to work from, that converges (is the same), at a point or range of points. Then mathing is so much simpler