All I know about derivitives is the the derivitive
of x^2 is 2x, but what does that mean?
2007-03-08 10:26:55 · 9 answers · asked by lcjjr87 2 in Science & Mathematics ➔ Mathematics
A derivative is the slope of the equation. So using your original equation of x^2, the derivative is 2x. Thus the equation needed to find the slope at any given point. At X=0, the slope is 0. At x=1, the slope is 2. At x=4, the slope is 8. Looking at the graph of x^2, we can see as x increases the slope of the graph also increases.
2007-03-08 10:30:46 · answer #1 · answered by frich_27 2 · 0⤊ 0⤋
It means that the rate of change in y at any point x is exactly 2x. If you like, dy = 2x dx. So if x = 2 then dy/dx = 4. At x = 2 the rate of change of the value of y= x^2 is 4.
C= 2pi r
dC/dr = 2pi
dC= 2pi dr
A change in the radius of dr will result in the Circumference changin by an amount dC.
2007-03-08 10:41:19 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
it means for every x on the curve x^2, the slope of the curve is 2x.
take the point (1,1), which lies on the graph y=x^2
the slope of the curve at that particular point is 2(1) = 2.
This can be used to determine the velocity of an object that moves along a curve, because velocity is the slope of an object's path, but it does NOT necessarily solve for velocity.
2007-03-08 10:30:02 · answer #3 · answered by David 3 · 0⤊ 0⤋
It means the the slope of the line y = x^2 is 2x.
If x changes a tiny bit, then y will change by (tiny bit) times (2x)
2007-03-08 10:31:29 · answer #4 · answered by morningfoxnorth 6 · 0⤊ 0⤋
imagine a function that draws a curve shaped like a hill. So at x = a, y is the height of the curve. Well at x = a, the derivative is the slope of the curve at a.
2007-03-08 10:31:04 · answer #5 · answered by All hat 7 · 0⤊ 0⤋
The derivative of a function is the slope of a tangent line.
2007-03-08 10:30:38 · answer #6 · answered by Essco 1 · 0⤊ 0⤋
derivative is when you differentiate something which is done by using the equation
kx'n = (kx(n+1))x'n+1
no idea if that helps you
you use a derivative to find the equation of a curve at a certain point
2007-03-08 10:29:50 · answer #7 · answered by shambles 3 · 0⤊ 0⤋
it means that the line y=2x graphs the VELOCITY of the line x^2
2007-03-08 10:29:23 · answer #8 · answered by PW 2 · 0⤊ 0⤋
dx/dt or dx/dv -derivatine function and anthor thing is derivative control system alsois there
2007-03-08 10:32:15 · answer #9 · answered by Anonymous · 0⤊ 0⤋