To find the rate of change of the function ( y = 4x^3 ), we need to calculate its derivative with respect to ( x ). The derivative is given by ( \frac{dy}{dx} = 12x^2 ). This means that the rate of change of ( y ) with respect to ( x ) is ( 12x^2 ), which indicates how steeply ( y ) changes as ( x ) varies.
what is the rate of change between 2,0 and-3,-1
6
The rate of change for the linear (not liner) function, y = 2x +/- 3 is 2.
3
Rate of Change = Change in value/Change in time to make this more clear, look at the line graph and pick two points of x. for example, we will use x=3 and x=1 in the equation f(x)=(x-3)^2 the average rate of change = change in y/change in x which equals function(b)-function(a)/b-a with that, we get: f(3)-f(1)/3-1. this creates (3-3)^2-(1-3)^2/3-1 this simplies to 0-4/2 which equals -2 so the rate of change in f(x)=(x-3)^2 is -2.
what is the rate of change between 2,0 and-3,-1
The formula for calculating the rate of change of temperature over time, given a constant rate of change of 3/2kt, is dT/dt 3/2k.
6
The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.
The rate of change for the linear (not liner) function, y = 2x +/- 3 is 2.
3
+200%
Rate of Change = Change in value/Change in time to make this more clear, look at the line graph and pick two points of x. for example, we will use x=3 and x=1 in the equation f(x)=(x-3)^2 the average rate of change = change in y/change in x which equals function(b)-function(a)/b-a with that, we get: f(3)-f(1)/3-1. this creates (3-3)^2-(1-3)^2/3-1 this simplies to 0-4/2 which equals -2 so the rate of change in f(x)=(x-3)^2 is -2.
To find the rate of change of the expression (-5xy - 3), we need to identify how it changes with respect to one of its variables. If we take the derivative with respect to (x), treating (y) as a constant, the rate of change is (-5y). Conversely, if we differentiate with respect to (y), treating (x) as a constant, the rate of change is (-5x). Thus, the rate of change depends on the variable being considered.
9
If 'y' equals 3 plus 10, then 'y' equals 13 ... today, tonight, and tomorrow, until the cows come home, pigs fly, and hell freezes over. 'Y' does not change, so its rate of change is zero.
no its speed that definds the rate change of position