6. Consider the function f (x) = x2-2x+1 x-1 a. What is the domain and range of this function? b. What is its derivative? C. For what value(s) of x is the derivative undefined. 7. Consider the function f(x) = }* (2x² +1, x 2 0 -4,x < 0 a. Graph the function. b. What is the domain and range of the function? C. What is it's derivative? d. For what value(s) of x is the derivative undefined?

Q: Sketch the graphs of two functions that have the given derivative: f'(x)=2

A:

Q: f(x) = (x + 2)2/3 -

A: First we have to find f'(x) . And to find extrema by first derivative test we have to find all roots…

Q: 16. Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x)…

A: Given,

Q: Find the derivative of the algebraic function.

A:

Q: Find the derivative of the algebraic function.

A:

Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=3f(x)+1x. If the…

A: Derivative of a function using the formula f′(x)=3f(x)+1x and f(3)=6. We know that approximate…

Q: Find the value of the derivative (if it exists) at the indicated extremum. -4 4/6 3 f(x) = - 3xVx +…

A: To find: The value of the derivative fx=-3xx+2. Formula used: Product rule of differentiation:…

Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: What is the derivative of f(x)=−3? Do not include "f′(x)=" in your answer. For example, if you found…

A: Formula:The derivative of a constant function is zero.

Q: se the definition of a derivative to find f '(x) and f"(x). f(x) = 3x² + 6x + 3

A: Given,           fx=3x2+6x+3

Q: If the slope of the tangent at any point of a function f passing through the point (2,-2) Is e^(-…

A:

Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

A:

Q: What is the derivative of f(x)=−2x?Do not include "f′(x)=" in your answer. For example, if you found…

A: we have to find derivative of f(x) ,we will use power rule

Q: Suppose the derivative of a function  f isf'(x) = (x+ 1) 2 (x -3)5 (x -6)4. On what interval f  is…

A: f(x) will be increasing if f'(x)&gt;0    We first find the zeros of f'(x) They are x=-1 , 3, 6

Q: Find the derivative of the function. g(x) + g'(x) = + 3.

A:

Q: Find the derivative of the function. h(x)=7/x - 2/x^3 =1/x^4 h'(x)=

A: Given function h(x)=7x-2x3+1x4

Q: Suppose that the slope of the line tangent to the graph of a function f at the point (x, f(x)) is…

A: Given: The  slope of  a curve:   To determine: The equation of the curve f(x)

Q: 5. Use the definition of derivatives to find f'(2) given that f(x) = 2x² -r+1

A: According to our company guidelines we are supposed to answer only one question since you have asked…

Q: Find the equation of the tangent line to the graph of the function f (x) = (x2 +8) (x - 3) at the…

A: Given : f(x) = (x² + 8)(x - 3) at the point      (1, -18)

Q: Give the derivative formula for the function g(x) 2.1X 2 g '(x)

A: The given function is

Q: 1 . Use the definition of the derivative to compute f'(x) if f(x)

A: We use the limit definition of f'(x)

Q: What rule should be used in getting the derivative of a.)  f(x) = x^5 b.) h(x) = 3(x + 4)^3 c.)…

A: a. fx=x5 The rule used to get the derivative of given function is, ddxxn=nxn-1 The derivative is,…

Q: Find the derivative of the algebraic function.

A: The given function is fx=x41-2x+1.

Q: Find the derivative of function defined as follows. y = 5x-5 - 6x-2 + 13x-1

A: Given function is: y=5x-5-6x-2+13x-1 We have to find dydx. We will use the following formula for…

Q: Suppose the derivative of the function y = ƒ(x) is y′ = (x - 1) 2(x - 2)(x - 4). At what points, if…

A: It is given that, the function f(x) has the derivative

Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: Find the derivative of (Hайдите производную) (Баллов: 2) f (x) = x(-24)

A: Given,          fx=x-2x

Q: Find the derivative of the algebraic function.

A:

Q: Suppose the derivative of the function y​f(x) is (x-1)^2(x-5)(x-2). At what​ points, if​ any, does…

A:

Q: 1+x y = 3-x2 ||

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: If g(x) = g'(x) is = In(6x° – x), then the derivative of -

A: Differentiation with respect to x,

Q: Find the function with the given derivative whose graph passes through point P f'(x)=1/4x3/4,…

A: To find the function with the given derivative that passes through the point (1,-2).The derivative…

Q: What rule should be used in getting the derivative of y=(1−x^2 )^6

A: What rule should be used in getting the derivative of y=(1−x^2 )^6

Q: Given f(x) = 2, find f' (1) using the definition of a derivative. x-2 Provide your answer below:…

A:

Q: 5. What is the definition of the derivative of a function f(x) ?

A:

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x).…

A: Given:   f(x) = - 2x + 5    At x = 5

Q: Find the derivative of the function g(x) = .5 3x + gʻ(x) =|

A: To find the derivative of the given function

Q: Find the derivative of the function. 9x + 1 h(x) = In 4х - 2. h'(x) =

A: Solution: The objective is to find the derivative of the given function

Q: Suppose that the slope of the line tangent to the graph of a function f at the point (x, f(x)) is…

A: Using integration.

Q: 1 4. Use the definition of the derivative to compute f'(x) given f(x) = 2x 3

A: Given,          The function is fx=12x-3 .

Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

Q: 9. Use the definition of a derivative change of the functions below at f(x)% = x² + 2x

A:

Q: Find the derivative of the algebraic function.

A: Given, fx=x1-4x+3

Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

Q: Find the derivative of the function f(x) 3x2 – 12x by the definition of derivatives f(x + h) – f(x)…

A:

Q: - Find the derivative of the function : ƒ(x)= V2x + 3

A:

Q: What is the derivative of f(x) = -3? Do not include "f'(æ) =" in your answer. For example, if you…

A: Given            f(x)=-3

Q: What is the graphical interpretation of the derivative of a function f(x) at a point x=a? If f(x) is…

A: 1st question: The graphical interpretation of the derivative of a function f(x) at a point at x= a…

Q: Sketch the graph of y= x2+2/x by using the properties of the derivative.

A: Given: y=x2+2x=x2+2x⇒y'=1-2x2⇒x2-2=0 ;  ⇒x=±2 are…

Q: Find the derivative of the function f(x) = (2x² + 5æ + 2)° at æ : - 2)* - 1 f'( – 1) = 3

A: Given :f(x) = (2x2+5x+2)3 at x = -1First we will find the derivative of the f(x)

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.