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Q: Compute for the derivative of the function below for x = 1, b = 2, and c = 3. f(x) = 72 - 36 3…

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Q: The graph of f' (x), the derivative of a function f(x), is shown below. On what interval(s) is the…

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Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

A: Solution : Given that the figure is

Q: Consider the following function. 2 f(x) = x + , (-2, -3) (a) Find an equation of the tangent line to…

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Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 0. 1 (a) f'(-3) (b) f'(-2)…

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Q: Suppose y is inversely proportional to the square of x. Sketch a graph of this relationship for x>…

A: According to given data y=kx                                                           ..1 Now,…

Q: Given the graph below of the derivative f'of a function f. -2 For what values of x is f increasing?…

A: Let's find.

Q: Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) 8- 5x…

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Q: Use the given graph to estimate the value of each derivative. Then sketch the graph of f'. y= f(x)…

A: Solution is here

Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 0, 1 (a) f'(-3) (b) f'(-2)…

A: Hence,  (a) f'(-3) = -1 (b) f'(-2) = 0 (c) f'(-1) = 0.6 (d) f'(0) = 1.5 (e) f'(1) = 3 (f) f'(2) = 0…

Q: Given the function, find the derivative f (x) = -()" 3z 4 3z- 3 12() 3z-4 O None of the Above

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Q: The following figure corresponds to the graph of the first derivative of the function f: (4, 0)…

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Q: The derivative of the function 5° is equal to Select one: a. 55* 5- (In 5)2 b. 5° 5 (In 5) c. 55 (In…

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Q: Use the given graph to estimate the value of each derivative.Then sketch the graph of f'.

A: Given:

Q: The derivative of the function 10 is equal to Select one: Oa. 10- In 10 b. 1010 10" (In 10) c. 1010…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Given the graph of the derivative f'(x) shown below, exactly how many inflection points does f(x)…

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: f(x) = 8 f(x) — тх + b f(x) 3 54 + 20х

A: We have to find derivative

Q: For the trig function shown, which of the following is the sketch of the derivative function? А. C.…

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Q: Given the function f(z) shown, which is the graph of the derivative f'(z) ?

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Q: Given

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Q: find the derivative of the following function 6. y 4 1 2 3 4 5 7 8 9 10 -1 -4

A: Derivative of function from l graph

Q: The given graph represents x), the derivative of Ax), Which of the following is true? f(x)

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Q: Given the graph below of the derivative f' of a function f.

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Q: A. f(x) = 2xª + 5x² - 5 %3D X slope - 4 - 1/2 2.

A: Solution:  Given f(x)=2x4+5x2-5To find the derivative of f and then the slope of each given…

Q: Which of the following is the graph of the derivative of the function shown here? y 4 C. a. d. yA b.…

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Q: A. f(x) = 2x4 + 5x² %3D slop

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Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 (a) f'(0) (b) f'(1) (c)…

A: Given, The graph of function y = f(x).

Q: Which of the following is the derivative of the function f(x) = 3x + 7? O f'(x) = 3x O f'(x) = 0 O…

A: Given: f(x) = 3x + 7        To determine: f'(x)

Q: f(x) 5 1 -1

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Q: Use the given graph to estimate the value of each derivative. y A y= f(x) 1 0, 1 (a) f'(-3) (b)…

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Q: Use the first, and second, derivative (given below) to find the intervals of increase/decrease and…

A: Follow step 2 and 3 .

Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: If the figure below is the graph of the derivativef', answer the following: Where do the points of…

A: The point of inflection are the points where the function changes its behaviour that is sign.The…

Q: The graph of a derivative f'(x) is shown. Given f(0)=50, determine the values. f(1)= f(2)= f(3)=…

A: Consider the derivative of the function f(x) given by f'(x). The area between the graph of the f'(x)…

Q: If g(x) is the f(x)=x after a vertical compression by 4/5, a shift right by 3, and a shift down by…

A: As we know that the graphical transformation. fx→afx, the graph compresses by ''a'' units along the…

Q: Consider the following function h(x)=-3x^4-5x^4+30x^3+60x a) find the point on the graph oh h(x)…

A: Given hx=-3x5-5x4+20x3+60x Solution for question a: Now the slope of the tangent lines will be:…

Q: Given to the right is the graph of a function f', the DERIVATIVE of some function f. Among the four…

A: Consider the given graph of the first derivative f' of a function f. (a) From the graph of f', we…

Q: Evaluate the derivative of the following function. h(x) = 7x7 h'(x) = O

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Q: B. f(x) = 5 - 6x° + x slope - 1 1/3 3.

A: Given:            fx=5-6x3+x Derivative of fx=5-6x3+x           f'x=0-6.3x2+1…

Q: Given the graph of a function y = f(x) below, select the representation that best corresponds to the…

A: Given y = f(x) so dy'dx = f'(x)

Q: Consider the following function. f(x) = x + , (-5, -6) (a) Find an equation of the tangent line to…

A: (a)

Q: Differentiate the following function:P(t)=16.84(0.96)tEnter the derivative here:

A: To differentiate the given function P(t) = 16.840.96t.

Q: Consider the following. f(x) = - 3 + 7x + 7; Find f'(x). f'(x) = Find f'(-1). f'(-1) = Find the…

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Q: Below is a graph of f' (x), the derivative of f(x). A B D E When is: f(x) greatest? f(x) least? f…

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Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4…

A: Find the derivative of h(y).  Differentiate h with respect to y.

Q: Use the given graph to estimate the value of each derivative. y = f(x) 1 1 (a) f'(-3) |-1.5 (b)…

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Q: You are given the following graph of the function f(x): 4 1.0 -5 #1 -10 Find the point where the…

A: Given graph is: Find the point where the second derivative changes sign from negative to positive.

Q: If f is the functions whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x2). Use the graph of f…

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Q: For each of the following, use the quotient rule to find the derivative function. You do not need to…

A: Part d,Given,          fx=x2+xx-2