0
If f is a differentiable function such that f of 9 equals 2 and f' of 9 equals -2 then what is the linearization?
Wiki User
∙ 15y ago
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.
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
What is the linearization L of x of the function at a. If f of x equals x to the 4 power plus 3x square a equals negative 1?
the linearization of f(x) = x^4 + 3x^2 with a = -1 is L(x) = 4 - 10(x+1) the linearization formula is L(x) = f(a) + f'(a)*(x-a) when, a = -1 f(a) = (-1)^4 + 3(-1)^2 = 4 f'(x) = 4*x^3 + 6*x f'(a) = 4(-1)^3 + 6(-1) = -10 so, L(x) = (4) + (-10)*(x-(-1)) = 4 - 10(x+1)
Does y vary directly as x in this function y equals x plus 2?
No.
What is the formula for a rational function with x intercepts at x equals 3 and x equals negative 2. y intercept at y equals 12. a hole at x equals 1 and no horizontal asymptote?
f(x) = 2*(x-3)*(x+2)/(x-1) for x ≠1
Let the function f be defined by f x equals x 2 plus 18 If m is a positive number such that f 2m equals 2 f m what is the value of m?
3.
What is the output value for y in the y equals 5x plus 3 function when the input value of x equals 2?
y = 5x + 3When x=2,y = 5(2) + 3 = 10 + 3 = 13
What is the linearization L of x of the function at a. If f of x equals x to the 4 power plus 3x square a equals negative 1?
the linearization of f(x) = x^4 + 3x^2 with a = -1 is L(x) = 4 - 10(x+1) the linearization formula is L(x) = f(a) + f'(a)*(x-a) when, a = -1 f(a) = (-1)^4 + 3(-1)^2 = 4 f'(x) = 4*x^3 + 6*x f'(a) = 4(-1)^3 + 6(-1) = -10 so, L(x) = (4) + (-10)*(x-(-1)) = 4 - 10(x+1)
Is y equals -x plus 2 a linear function?
Yes, y=-2+x is a linear function.
Is y equals 3x-2 a function?
5
Is y equals x2 a function?
Y=X^2 is a function for it forms a parabola on a graph.
What is the period of the function y equals 2sin x?
2 pi
What is the function rule of y equals 2x if x equals 1 2 3 and 4?
y = 2, 4, 6, 8
Give exampal of function continuous everywhere but not derivable any where?
I think the following piecewise function satisfies the two criteria: when x is rational: f(x)=x when x is irrational: f(x)=x*, where x* is the largest rational number smaller than x. I think not. When x is irrational, there is no largest rational number less than x. No matter what rational number you pick, there is a larger one that is less than x. For example, between 3.1415926 and pi, there is 3.14159265. The usual answer is the one given by Weierstrass, which is the sum of an infinite series of functions. The first term in the series is a periodic sawtooth (piecewise linear) function, which is = x from x=0 to x=1, and then descends back to 0 between x=1 and x=2 (i.e., it is = -x+2 in that interval). It repeats that pattern between x=2 and x=4, and so on. The second term is just like it, but with 1/10 the frequency and 1/10 the amplitude, and so on. The first function is continuous everywhere and differentiable except at x= an integer. The sum of the first 2 is continuous everywhere and differentiable except for the multiples of 1/10, and so on. It turns out that the series converges to a function that is continuous everywhere and differentiable nowhere. By the way, if you can take the derivative of a function at a given point, it is said to be differentiable, not derivable at that point.
What does it mean when f is differentiable at x equals 2?
what does it mean when f(x) is differentiable along an interval?it means that f is continuous along that domain. In other words, the curve f is smooth and does not break at any point along the interval.what does it mean when f(x) is differentiable at a point c?It means that f is continuous above the domain given by the interval that is an infinitesimally small distance from c. In other words the curve, f(x), is smooth and does not break along the differentially small interval given by c and at all of the values unimaginably close to c.what does it mean when the derivative of f(x) at c equals 2?It means that the instantaneous rate of change (slope) of f(x) at that point is equal to 2.what does it mean when the derivative of f(x) everywhere along an interval equals 2?It means that every single point along that interval has the same slope of 2. In other words, that interval yields a line with a slope of 2.
What If y is a function of x in the equation y equals 3x - 5?
-2
What is the average rate of change from x equals 2 to x equals 3 for the function f of x equals 3 ln x?
It is 1.2164
What is another name for the root of a function?
The "root" of a function is also called the "zero" of a function. This is where the function equals zero. The function y=4-x2 has roots at x=2 and x=-2 The function y=4-x2 has zeroes at x=2 and x=-2 Those are equivalent statements.
Is 3y plus 2 equals 0 a linear function?
It is not a linear function because it is missing x as the input variable
