36- 32 28- 24 20 16- 12 -4 -2 -1 For the above function f( x ) = 7 - 0.65², estimate f'(x) using h = 0.001 for the following three valu f'( – 3.75) - f'(0.5) = f'(1.75) -

Q: Given the function f(x) = x³ - 3x², find x for which f'(x) = 0 1 2 2 x = 0; x = 1 4 x = 0; x = 4 3 x…

A: Given : f(x) = 1/2x^3 - 3x^2             Because f(x) = y               Now we derivative f(x) with…

Q: Identify a function f that has the given characteristics. f(-5) = f(1) = 0; f '(-2) = 0, f '(x) 0…

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Q: 3. A function and its first 2 derivatives are given. x² - 4x (x+4)² f(x) = = (x+4)³ (3x - 4) f'(x)…

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Q: Given this graph of f'(x), prove which of the following symbols is appropriate to put in the blank.…

A: Here, from the given graph: f'(x)<0 on (-∞,-2)∪(0,6) So, f is decreasing on -∞,-2)∪(0,6

Q: 1/x for x 1. (a) Evaluate f(-2) and f(2). (b) What is the range of f?

A: Here we will find out the required values.

Q: 4х + 8 If f(x) = find: 5х + 4 f'(x) = f'(1) = (round to FOUR decimal places)

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Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) negative?…

A: Given : The graph of the function f(x). To find : On what interval(s) is the the value of the…

Q: Find the interval where the function is concave up. Find the interval where the function is concave…

A: for concave up  f"(x) >0 and for concave down f"(x) <0

Q: 3. Consider the following table of values for two functions f and g: X 1 2 3 4 f(x) 2 4 1 3 f'(x)…

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Q: Identify the plot below that represents a function f(x) that satisfies the following conditions:…

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Q: -4 -3 -2 -1 %3D For the above function f( x ) = 4 · 0.6", estimate f'(x) using h = 0.001 for the…

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Q: 3. The figure below shows the graph of the derivative of f'(x). Use this to determine the location…

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Q: Identify a function f that has the given characteristics. f(–5) = f(4) = 0;  f '(-0.5) = 0,  f '(x)…

A: f-5=f4=0, f/-0.5=0, f/x<0 for x<-0.5 & f/x>0 for x>-0.5. Since -5 & 4 are the…

Q: Find the interval in which the function is positive. f(x) = x2 - 7x + 10 %3D I. (- , 2) II. (2, 5)…

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Q: fand g are the functions whose graphs are shown, y = f(x) is in black and y=g(x) in red. Define H(x)…

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Q: Identify a function f that has the given characteristics. f(–5) = f(2) = 0;  f '(-1.5) = 0,  f '(x)…

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Q: Sketch the graph of f(x)= 1/3x-x-3x+4 showing all the points of inflection, local max. and local…

A: It is defined that the inflection points are those points at which the rate of change of slope…

Q: -2 -1 3 pove function f(x ) = 2 1.2", estimate f'(x) using h = 0.001 for the following three val

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to…

Q: If f(x) = 7x5 - 6e", find: ƒ'(x) = ƒ' (1) = ƒ''(x) = ƒ'' (1) =

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Q: Differentiate the following function. f(x) = 6 +5x+4ex f'(x) =

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Q: The graphs of the function F (left, in blue) and G (right, in red) are below. Let P(x) = F(x)G(x)…

A: Graph of the functions Fx and Gx are given and Px=FxGx and Qx=FxGx. We have to find the values of…