Find the following derivatives by using the product rule and/or the chain rule: (You can use the quotient rule if you like... ewww) Show work. Do not just write the answer from a book or a computer program.... 33x 1) f(x) = 4x5 -3x-4

Q: 2 Given the functions f(x) = 3x - 2 and g(x) = x² + 1, find: a. f(x) + g(x) b. f(g(x)) c. (f - g)(4)…

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Q: If g(t) = -3t3 , evaluate g(4t).

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Q: Use the graph of f and g to find the following: f(-2)+g(-1) f(g(-3)) f(2)+g(0) g(f(0))

A: Find the values of f(-2)+g(-1), f(g(-3)), f(2)+g(0), and g(f(0)).

Q: x2 + x – 2 At which value of x does the function f(x) have a removable x3 – 3x2 + 2x -…

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Q: For f(x) = 4x-3 and g(x)=5x -4 find the folowing. a. (fog)(x) b. (gof)(x) c. (fog)(2) a. What is…

A: Given functions are: fx=4x-3 gx=5x2-4

Q: Find T(10) and T(40). You may use a calculator.

A: We have , T = 95x - 1.5x2 OR      T(x) =

Q: For the pair of functions, find the indicated composition. f(x) = -2x+2, g(x) = 4x + 5 Find…

A: here given function f(x)=-2x+2, g(x)=4x+5 gof(x)=g(f(x)) gof(x)=g(-2x+2) gof(x)=4(-2x+2)+5…

Q: The point (2,6) is on the graph of y=f(x). What are the coordinates of the image of this point on…

A: The solution is given below