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calculus question
- Thread starter Burnboy
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I just awnsered your other question, the awnser is x^1/2
the difference between a function aand a derrivative
function f(x) which is equal to y
a derivaitve is the multiplication of the exponent by the constant, subtracting 1 from the exponent.
Just read the damm book, it is not that hard
the difference between a function aand a derrivative
function f(x) which is equal to y
a derivaitve is the multiplication of the exponent by the constant, subtracting 1 from the exponent.
Just read the damm book, it is not that hard
Actually king your technically wrong. While that may suffice in some instances of simple functions, (those raised to a power) it does not for other's. Example, sin(x), sin(x)/x, log(x) or ln(x), etc.
The derivitive of a function, depending on what derivitive it is can show the max/min, rate of change and so on, in fact a derivitive is the opposite of an integral. The actual definition of a derivitive is much more than this, but it is late and I don't want to get my book.
The derivitive of a function, depending on what derivitive it is can show the max/min, rate of change and so on, in fact a derivitive is the opposite of an integral. The actual definition of a derivitive is much more than this, but it is late and I don't want to get my book.
I just got an A on my college calculus test 
Yeah, I know, my minors in math and physics aren't much. (Modern physics or quantum physics)
Yes, the first derivitive can tell you the slope. By setting this to zero you can also solve for at what points the equation equals zero, second derivitive can tell you inflection points, max/mins and more. It can also give you the mass moment, second moment of area, first moment, and so on. Calculus or DE is pretty fun.
Or something like that above.
Yes, the first derivitive can tell you the slope. By setting this to zero you can also solve for at what points the equation equals zero, second derivitive can tell you inflection points, max/mins and more. It can also give you the mass moment, second moment of area, first moment, and so on. Calculus or DE is pretty fun.
Or something like that above.
Longhorn85
New member
If I remember correctly...
a derivative is the rate of change of the slope of a function
a derivative is the rate of change of the slope of a function
Re: If I remember correctly...
Incorrect. The rate of change of the slope is actually the 2nd derivative.
The derivative of a function f(x) is another function f'(x) which describes the slope of f at any given point x. Or
f'(x) = (f(x+dx) - f(x))/(dx), as dx approaches 0.
ttlpkg said:
Incorrect. The rate of change of the slope is actually the 2nd derivative.
The derivative of a function f(x) is another function f'(x) which describes the slope of f at any given point x. Or
f'(x) = (f(x+dx) - f(x))/(dx), as dx approaches 0.
Longhorn85
New member
Hmmmmm. I beg to differ. I stand behind my statement. I'm sure the derivative is the rate of change.
For example, velocity is a linear function while acceleration is the rate of change of velocity. What is the formulatic relationship between velocity and acceleration?
For example, velocity is a linear function while acceleration is the rate of change of velocity. What is the formulatic relationship between velocity and acceleration?
ttlpkg said:
You are right in that example. But velocity is already the change in position, it is already the first derivative. Acceleration is the 2nd derivative of "position", and it is the rate of change of velocity.
The instantaneous slope is the 1st derivative.
The instantaneous change of slope is the 2nd derivative.
The instantaneous change of instantaneous of slope is the 3rd derivative, etc etc etc.
You can't say "derivative" without saying which derivative you're talking about. The original poster asked about a function and it's derivative (1st derivative I'm assuming), which is the instantaneous slope, not change in slope.
whew.. that was hard to type
Longhorn85
New member
Score: 1 to 1
freshr1: Ok, I'll yield. I am just glad I can hang in this conversation. It has been 16 years since I got my math degree.
But I think I am right concerning our discussion on the other board about Germany's support of the U.S. and you're wrong.
freshr1: Ok, I'll yield. I am just glad I can hang in this conversation. It has been 16 years since I got my math degree.
But I think I am right concerning our discussion on the other board about Germany's support of the U.S. and you're wrong.
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