9. Below is the graph of f(x). For what values of x is fx) concave down? a. x <-1 c. x>1 d. x <-1 and x > 1 b. -1

Q: The above is the graph of the derivative f '(x). How many critical points does the original function…

A: From the graph of function f'(x), number of roots of f'(x) are three. Let f'(x)=ax3+bx2+cx+d

Q: 2. find the high er order derivative of the given funcion witch whi ch Equal to 2ero f (x) = = x°-…

A: If we have a function f(ax) then the derivative of the function will be,     Here it is given that,

Q: Q1) The dervative of the function f(x)= |x+2, using the definition of derivative is 1 b)- a) x+2 x+2

A:

Q: 2. g'(x) where g(x)= x² +7x-5

A: differentiation by using first principle

Q: Suppose s (x)= - 2(1– 5x)3 What is the correct result of the derivative of g with respect to x? 45 A…

A:

Q: Suppose that f(1) = 10 and the graph of the derivative of f is shown below. 6 5 4 y = f '(x) 2 1 3…

A:

Q: For n 4 we find the derivative of f(x) = x* as follows: f(x + h) - f(x) (x + h)* – x lim f'(x) = lim…

A:

Q: The derivative of y= xh* is O 1) (In x)(xh*-) O 2) 2 an x)(xh*) O 3) (In x)* O 4) xhx

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Q: 2ƒ(x), x = 2

A:

Q: Consider the second derivative graph, y = f"(x), %3D given below. Which of the following statements…

A: Graph f''(x) is given, we have to find the concavity if the graph f(x).

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A:

Q: 4. The process of finding a general formula for the slope of a line tangent to a certain curve is…

A:

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

A: Given, f(x)=x23-4

Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 3. For which function is the average rate of change over the interval 1 < x < 5 greater than the…

A: To find- For which function is the average rate of change over the interval 1 &lt; x &lt; 5 greater…

Q: 6-Iff is a continuous at x=c, then f has a derivative at x=c. * a. True b. False

A: Consider the given statement "If f is a continuous at x = c, then f has a derivative at x = c".

Q: - Find the derivative o y with respect to n ort. 4 4 16

A:

Q: 11. Suppose a function is defined so that it has derivatives f'(x)=x²(1–x) and S"(x)=x(2-3x). Over…

A: Given that, the derivatives of a function f is defined asf'x=x21-xf''x=x2-3x We need to find the…

Q: Let f(x)=x² – 3x'. For what value(s) of x in [–1, 1] is the slope of the line tangent to the graph…

A:

Q: Suppose that the first derivative of f(x) =- is approximated by the following formula 3x+4 -2f(x –…

A: The given problem is to find the actual error of the first derivative of the function using the…

Q: Assuming that f(x) is defined for all x+0 such that x is a real number, what is the anti-derivative…

A:

Q: Answer the following questions about the function whose derivative is f'(x)=(x-5)^2(x+7). a. What…

A: (a) For critical points:

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of fx=x is given. The equation for the left side of the graph is y=-x and the equation…

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of f(x)=x is given

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

A:

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A:

Q: Suppose that the first derivative of f(x) = x² In x is approximated by the following formula f'(x) ≈…

A:

Q: Suppose that the first derivative of f(x) = is approximated by the following formula 2x+2 F'e…

A: The given problem is to find the actual error of the first derivative of function at x=1 using the…

Q: 3 Suppose 8 (x): 2(1- 5x)3 .What is the correct result of the derivative of g with respect to x? 45…

A:

Q: Find the derivative of the function. x+6 g(x)=| x2 +4 5(4 – 12x +x?) ( 6+x (4 +x²) a. g'(x)= 4+x?…

A:

Q: 4. Find the second derivative of each of the following and determine based on your results if the…

A:

Q: Suppose this graph represents the 1st derivative function, f'(x). At what value(s) of x does Ax)…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y =…

A: Given,     f(x)=x3+g(x)

Q: Suppose we know the function f(x) has derivative given by the following graph: -2 Then f(x) is…

A: The graph of the derivative of the function f(x) is given in the question. We have to check whether…

Q: Suppose h (x) =() . What is the correct result of the derivative of h with respect to x? ". In (5) A…

A: Derivative using chain rule of differentiation.

Q: If g(3) = −2 and g'(3) = 15, the compute the derivative of g−1(x) at x = −2

A:

Q: -) Givea the following data table= 国间。间 28 f(x.)- X, 2 42 3 50 Use Second-order finite difference to…

A:

Q: In our last class discussion we found that a function y(x)= x* indicated by taking y"(x) = 0 that…

A: Definition: The first derivative of a one-variable function is zero at the points called stationary…

Q: Suppose h(x) =23r +1 What is the correct result of the derivative of h with respect A h'(x) =3-23x +…

A:

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: 4. The graph of the first derivative f'(x) of a functionf is shown below. At what values of x does f…

A: Given graph of f'(x) is The value of x where f'(x)=0 are called as critical values where extrema…

Q: Let f(x) = 21 – x² The slope of the tangent line to the graph of f(x) || at the point (-4, 5) is The…

A:

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: 3. Use the given graphs of the first and second derivative of a continuous function to answer the…

A: To find:- From given graph A. Set up a number line to represent where f'(x) is positive, zero, and…

Q: Derive the following formula for approximating the derivative f": 1 f"(x) ≈ (-f(x+2h) + 16f (x + h)…

A: Given: The formula is f'(x)≈112h -f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h). To prove: The given formula. To…

Q: Suppose the derivative of the function y = f(x) is y' = (x-9)2(x+6). At what points, if any, does…

A:

Q: 4+ 9e Use the Quotient Rule to determine the derivative of the function w(s) 7e + 8

A:

Q: 5. Find the length of the curve given by the graph of the function f(x) = x/x, for a in [1,4].…

A:

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: The given functions are: fx=2x2-1x2+3x2+1 and gx=x2+872-3x25 The person's brother believes that,…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.