8. Answer the following questions. (a) Sketch the graph of f'(x) by using the given graph of y = f(x). I lu T T I 1 I 1 1 1 --- I 1 (b) The number of bacteria after t hours in a controlled laboratory experiment is n = is the meaning of the derivative f'(5)? f(t). What I 1 I I

Q: In Q3 graph the vertex is adjacent with o 001 o 00 • 10 O 100 Clear my choice e converse of the…

A: Converse of P -> Q is Q -> P

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A: For the given function: y=hx The graph shown is:

Q: 6. From the attached graph of a function y = f (x), sketch a graph of the derivative y = f'(x). 8 -6…

A: The graph of y = f(x)

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A:

Q: a. h'(1) b.p'(3) 1 3 f(x) f'(x) g(x) 3 4. - 4 -7 -8 -5 1 3 1. 3. g'(x) 8 4719

A: hx=f(g(x))and px=gfx

Q: 25. From what you know about the graphs of functions (i) through (v), pick out the one that is its…

A: We have given (1) y=sinx  (ii) y=x   (iii) y=x   (iv) y=ex   (v) y=x2   The functions (1) y=sinx…

Q: (d) Use the following table to evaluate each derivative. I 0 1 2 f(x) 1 3 -2 g(x) f'(x) 1 2 4 -3 0.5…

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: what is a and b please?

A: Use chain rule to find the h ' (x) and g ' (x).

Q: 3. Use the graph of f '(x) to sketch the graph of f(x). Sketch f(x) on the coordinate plane below…

A:

Q: Question 8 Find an equation for the line tangent to given curve at the given value of x. y = x² - 4x…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

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A:

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Differentiate given function at given value

Q: 5. Answer the following questions. (a) Sketch the graph of f'(x) by using the given graph of y =…

A:

Q: 2. Let g(r) = 1+ 4r. (a) Use the definition of derivative to find g'(3), the derivative of g at r =…

A:

Q: Show solution. 1. Below is the graph of f(x) = |x|. Using the left side of the function with the…

A: Given problem:-

Q: Suppose we're given the function y = f(x) shown below. On the following blank grid, draw a rough…

A: We see that f(x) is decreasing up to -2.5 (approx) and has a local minimum in the negative real…