The graphs of the functions f and g are shown in the figure. y -1 Let u(x) = f(x)g(x) and v(x): = (a) Find u'(1). 4 3 2 (b) Find v'(5). - f(x) g(x) 2 3 4 g 5 6 X

Q: b. f(x) = (x³ + 2x² + 4) (x 4 − 3) c. f(x) = = 3x²-6x+7 4x-1 d. f(x) = (4x³- 7x)7 -

A: To find the derivative of each of the following functions.

Q: X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate…

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Q: Use the graph below to fill in the missing values. f(x) -1 4 f(0) = f(«) — 0, х 3 f -'(0) = f («) —…

A: To find f(0) we find y when x=0 At x=0, y=4 So, f(0)=4

Q: Use the graph of f(x) = 1/x2 to graph g(x) = 1/(x - 2)2 + 1.

A: fx=1x2, gx=1x-22+1 Now the graph of fx=1x2 is,

Q: 1 x-2 f(x)=- y g(x)=√x

A: To find the composite function

Q: Let f(x)= 2/x-3. Let g(x)= 5/x+2. Determine (f/g)(x)

A: See the attached file

Q: A function f is defined by f(x) = 3x + 1. Find the following. (a) f(0) (b) f(4) f(-2)

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Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

A: Consider the given function fx=xx2+x

Q: (a) Graph the IL f(x) = in the viewi (b) Using the g a rough ske Example 2. (c) Calculatef Compare w

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Q: Estimate of f′(3)

A: NOTE: Refresh your page if you can't see any equations. . to find the value of f'(3), we need to…