Please be as simple as you can in your answer I am just beginning calculus.
2006-09-13 11:04:10 · 5 answers · asked by Nate-dawg 2 in Science & Mathematics ➔ Mathematics
The first thing I remember when being taught calculus is that calculus was used to solve physics problems, the first derivative is used to determine the instaneous rate of change of function, f(x).
The first derivative is written classically as f(x+h) - (fx) / h, where h is the change.
Now limits come into play when we define instaneous, on a graph, f(x), f(x+h) are two points on the line f(x), as h gets smaller, or approaches 0, you can obtain the first derivative or tangent of f(x),
the definition of a derivative is written like
f'(x) = lim (h->0) f(x+h) - f(x) /h
To summarize, the limit of h is used to find the instaneous change or derivative of function.
The source I've listed below gives a great explanation. Good luck.
Just remember, calculus is used to solve physics problems.
2006-09-13 11:25:57 · answer #1 · answered by Mark B 2 · 0⤊ 2⤋
The by-product is defined in terms of a cut back. The by-fabricated from a function is the slope of the tangent. in case you % the locate the slope of a function at a ingredient x0, you may take 2 factors close to that ingredient and draw the line between them which cuts around the curve. As your 2 factors capture up with and closer to x0, this line gets closer and closer to a tangent. we've a gaggle of theorems for the by-fabricated from particularly some issues. those all got here from the cut back definition of by-product f'(x) = lim(h->0)[f(x+h) - f(x)] / h In desktops, derivatives are predicted by utilising basically taking an expression like [f(x+h) - f(x)] / h and comparing it for a small h.
2016-11-07 06:34:30 · answer #2 · answered by winstanley 4 · 0⤊ 0⤋
A derivative is a function which can be used to get the slope of a function at a given point and it is computed, in its definition, by using a limit on the original function.
2006-09-13 11:34:48 · answer #3 · answered by rhino9joe 5 · 0⤊ 0⤋
The derivative of f(x) is defined as
lim (as h goes to 0) of [f(x+h) - f(x)]/h
That is, the derivative is a limit. Normally people don't apply the definition of the derivative to find the derivative because it takes a lot longer.
2006-09-13 11:09:32 · answer #4 · answered by MsMath 7 · 0⤊ 0⤋
Derivatives are limits. For example, the derivative of x^2 is just Lim h->- [(x+h)^2-x^2]/h.
And this would equal 2x
2006-09-13 11:16:13 · answer #5 · answered by bruinfan 7 · 0⤊ 0⤋