Given the graph of f', the derivative of f, locate all extrema of f. JUSTIFY. Minimum at x = because Cross out and write NONE if none exist. 1 Maximum at x = because 4

Q: the derivative of E(q) is-(q*(q^2-1))^-1. what's its global maximum and global minimum. Thank you!

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Q: 3. Suppose the function f has second derivative f"(x) = x2(x – 3)(x+2)*(? – 1). = T- (a) How many…

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Q: 1. Use limits to find the derivative of the following function at the point a = -1. 1 2x + 1 f(x)= =…

A: We have to find derivative

Q: 4. The graph of the first derivative of a function ƒ is given below. yA y= f'(x) 3 5 7 (a) On what…

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Q: a. Find the derivative of f(x) = x2 - 5x at x. That is, find f′(x). b. Find the slope of the tangent…

A: Given: fx=x2-5x To Find: a. f'x=?b. Slope of tangent line of the given function at x=-1 and x=3

Q: All boxes with a square base, an open'top, and a volume of 160 ft have a surfac the surface area…

A: The surface area of the box S(x)=x2+640x ...............(1) differentiate with respect to x,…

Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: The function f whose derivative is f'x) = (x – 1)e"* is decreasing on (-00, 1). Select one: O True O…

A: We Know that the derivative of a function may be used to determine whether the function is…

Q: Find the value of the derivative (if it exists) at each indicated extremum

A: Here we have to find the value of the derivative (if it exists) at each indicated extremum.…

Q: Let f be the function defined for x > 0, with f (e) = 2 and f', the first derivative of f , given by…

A: (a) part Consider the given derivative of the function f'x=x2 lnx First, find the slope of the…

Q: Here is the graph of the derivative of a continuous function f: R → R. What would we see on the…

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Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: From the left side of x=1, the derivative is

Q: Let f(x) = 17 – x? The slope of the tangent line to the graph of f(x) at the point ( – 4, 1) is The…

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Q: Here is the graph of the derivative of a continuous function f: R R. What would we see on the graph…

A: Given that a graph of the derivative of a continuous function f:R-->R.

Q: Consider the following funciton. f(x)=|x-2| Find the derivative from the left at x=2. Find the…

A: A funciton f(x)=|x-2| derivative from the left at x=2. ?  derivative from the right at x=2. ?  Is…

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given f(x)=(1-x)23  To find  Find left-hand limit derivatives from the left and from the right at x…

Q: Consider the following function. g(x) = x2 − 2x − 4 on [0, 6] Find the derivative of the function.…

A: The derivative of the xn is given by:…

Q: Use the definition of the derivative (long method/ increment method) to find the derivative of the…

A: We will find the derivatives.

Q: Suppose the derivative of the function y = f(x) is y' = (x- 4) (x- 3). At what points, if any, does…

A: First we find out critical points putting y"=0 then find out 2nd derivative test .

Q: Suppose g: IR - IR is a differentiable function with bounded derivative, Fix e> 0 , and define flx)…

A: to show f is one one we will show that for  x1 not equals to x2 , f(x1) is not f(x2)

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: fx=1-x23 To Find:  To find the left hand derivative LHD and right hand derivative RHD and to…

Q: In the given equation/s as follows (a) find the critical numbers of f, if any, (b) find the open…

A: The given function is;  f(x)=x2-8x differentiate with respect to x f'(x)=ddxx2-8x

Q: Use f ′(x)=limh→0f(x+h)−f(x)/h to find the derivative at x for the given function.   s(x)=8x+3 s…

A: Given function is  s(x)=8x+3

Q: g(u) u +1

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Q: Let f(x) = x – 5x. Calculate the difference quotient f(2+h)-f(2) for h = -.1 If someone now told you…

A: Given that

Q: In the given equation/s as follows (a) find the critical numbers of f, if any, (b) find the open…

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Q: Let f(x) = 12 – x2 The slope of the tangent line to the graph of f(x) at - the point ( - 3, 3) is…

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Q: All boxes with a square base, an open top, and a volume of 140 ft have a surface area given by 560…

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Q: The graph of the first derivative of a function is shown a) How can we know in which intervals the…

A: Here we have the graph of the first derivative of a function is shown.

Q: The sales of a book publication are expected to grow according to the function…

A: Given the sales function  S=3000001-e-0.06t    1 (a) Differentiating (1) wrt t, we get…

Q: Suppose that the only information we have about a function f is that f(1) = 5 and the graph of its…

A: Given graph, And also given f(1)=5. (a) The objective is to estimate f0.9 and f1.1 by using linear…

Q: se Richardson extrapolation method to determine the first derivative of f(x) at x = 0.23 for the…

A: Richardson extrapolation f'x=fx+h-fx-h2h Here values at x of function is given and h=.02

Q: Let f(x) = 33 –x The slope of the tangent line to the graph of f (=) at the point (-5, 8) is The…

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Q: The picture below shows the graph y = f'(r) of the derivative of a function y = f(r). For each of…

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Q: the sales of a book publication are expected to grow according to function  s=300000(1_e-0.06t),…

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Q: Suppose the only information we have about a function fis that f(1)=2 and the graph of its…

A: Ti find the linear approximation.

Q: Solve by definition of derivative if f(x)=x+Vx AND also Find x? w.r.t x*

A: fx=x+x Now by the definition of derivative, we have…

Q: Find a formula for (f-l)(x) given that f is one-to-one and its derivative satisfies the equation…

A: We can solve this using idea of function and definition of inverse of function

Q: Find the value of the derivative (if it exists) at each indicated extremum.         g(x) = x + 4/x2

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Q: Let f(x) = 25 x The slope of the tangent line to the graph of f(x) at the point (–6, – 25) is The…

A: All the answers are given below

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A: The given function is f(x)=5x2 at x=3.

Q: Which of the following can the first derivative not be used to determine? 1. where the function is…

A: First Derivative of a function gives slope of a function at any point. Refer to following statements…

Q: 2the second derivative test to find the loscal maxilnum and minimulin of thie functioni 3 f (x}こ 2メ2…

A: To find the local maxima and local minima of the below function. fx=2x3−3x2−12x

Q: Given the graph of the f(x) shown below, which one of the following statements regarding the…

A: When we take the absolute function f(x), there will be no part below x -axis, so

Q: Let f(x) = /25 – x The slope of the tangent line to the graph of f(x) at the point (9, 4) is The…

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Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

A: topic- tangent

Q: Below is the graph of y=f'(x), for some function f. Using the graph of the derivative of f,…

A: We will find out the required critical points.

Q: Use Desmos to create a single graph with the following three functions: 1. f(z) = 4x5 - 7z 2. f'(z)…

A: The given graph is: fx=4x5-7x3 Using Desmos draw the functions fx, f'x, f''x:

Q: 10.The graph of f'(x), the derivative of f, is given below for -6 Sxs7.On what intervals is the…

A: Option (c) is correct Because f'(x) is greater or equal to zero in that interval. Or we can say…

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.