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How do you find the x-intercept of y equals 2x?
At the x-intercept, y=0.2x = 0x = 0The line goes through the origin, where 'x' and 'y' are both zero.
What is the vertex for y equals X raised to the second power?
The vertex is the origin, (0,0).
Enter an equation of the form y equals mx for the line that passes through the origin and has slope 1?
y=x
What shape is y equals 3 times x to the second power?
It is a parabola, which passes through the origin and is symmetric about the y axis.
What algebraic property is 8 equals x and x equals y?
Transitive property: If 8 equals x and x equals y, then 8 equals y.
What is the equation to the tangent line to the curve xy plus y2 equals 0 at the point x equals 3 and y equals 0?
y=0. note. this is a very strange "curve". If y=0 then any value of x satisfies the equation, leading to a curve straight along the y axis. For any non-zero value of y the curve simplifies to y = -x. The curve is not differentiable at the origin.
What is the intercept of the equation y equals -x?
The 'x' and 'y' intercepts of that equation are both at the origin.
How do you find the x-intercept of y equals 2x?
At the x-intercept, y=0.2x = 0x = 0The line goes through the origin, where 'x' and 'y' are both zero.
What is the vertex for y equals X raised to the second power?
The vertex is the origin, (0,0).
When was function not having a derivative at a point?
Definition: A function f is differentiable at a if f'(a) exists. it is differentiable on an open interval (a, b) [or (a, ∞) or (-∞, a) or (-∞, ∞)]if it is differentiable at every number in the interval.Example: Where is the function f(x) = |x| differentiable?Answer:1. f is differentiable for any x > 0 and x < 0.2. f is not differentiable at x = 0.That's mean that the curve y = |x| has not a tangent at (0, 0).Thus, both continiuty and differentiability are desirable properties for a function to have. These properties are related.Theorem: If f is differentiable at a, then f is continuous at a.The converse theorem is false, that is, there are functions that are continuous but not differentiable. (As we saw at the example above. f(x) = |x| is contionuous at 0, but is not differentiable at 0).The three ways for f not to be differentiable at aare:a) if the graph of a function f has a "corner" or a "kink" in it,b) a discontinuity,c) a vertical tangent
Enter an equation of the form y equals mx for the line that passes through the origin and has slope 1?
y=x
If f is a differentiable function such that f of 9 equals 2 and f' of 9 equals -2 then what is the linearization?
Use the point-slope form: y - y1 = m(x - x1). From the givens, y1 = 2, x1 = 9, and m = -2. Thus, y - 2 = -2(x - 9) = -2x + 18, or y = -2x + 20.
What is the answer for y equals x?
x equals y
What is y equals -x using intercepts?
y = -xBoth intercepts are at the origin. From there, the line slopes up to the leftand down to the right.
What shape is y equals 3 times x to the second power?
It is a parabola, which passes through the origin and is symmetric about the y axis.
What algebraic property is 8 equals x and x equals y?
Transitive property: If 8 equals x and x equals y, then 8 equals y.
Chain rule in calculus?
If y is a differentiable function of u, and u is a differentiable function of x. Then y has a derivative with respect to x given by the formula : dy/dx = dy/du. du/dx This formula is known as the Chain Rule and says, " The rate of change of y with respect to x is the rate of change of y with respect to u multiplied by the rate of change of u with respect to x."
