f(f (x)) and g (x) = f (x2). Use the 56. If fis the function whose graph is shown, let h (x) graph of f to estimate the value of each derivative. a. h' (2) b. g (2) y=f(x)

Q: Use the graph of the function f(x) to sketch the graph of the derivative f’(x)

A: We have to graph the function f(x) and its derivative.

Q: Suppose that f(2) = 2. f'(2) = 8, g(2) = 2, and g'(2) = -2. If F(x) = (f • g)(x) and G(x) = (g •…

A:

Q: please show ALL your steps

A: we are given a function

Q: The graph of the first derivative f'(x) of a function f is shown below: 50- -50- 100- Does f have…

A: Given:

Q: The graph of f(x) is given in the top picture. Sketch the graph of f'(x) in the bottom picture. if…

A: In the given graph f(x), we can see that the graph is increasing from x=-5 to x=0 when graph is…

Q: Differentiate the function g(x) = 6x² + 11tanx.

A: The function is given by gx = 6x2+11tanx To evaluate: The expression of g'x

Q: Write the formula for the derivative of the function. f(x) 12x4 19x3 4 f'(x)

A: The function is given by,

Q: Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-o,…

A: Given that:                    f(x) has a positive derivative over (-∞, 5) and (-5, 4) and a…

Q: b. f(x)=7x²e"

A:

Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: Find the derivative of the function 54² (4²+4)³ 3 g'(u) = g(u) =

A:

Q: Differentiate the function g(x) = 2x² + 5tanx. Answer g'(x) =

A: Given : the differenctiate Equation : g(x)=2x2+5tan(x)

Q: use the reciprocal rule or the quotient rule to determine the derivative of the function.…

A: Given :Bu=u2u+1To find the derivative of the above function using reciprocal rule or quotient rule.

Q: 1. Determine the third derivative of the following. A. f(x) = x³ – 4x² + 5x + 3 B. f(x) = Inx [ K:…

A:

Q: If f(x) = x e sinx , find f'(x) . Graph f and  f' on the samescreen and comment.

A: f(x)=xesinxf'(x)=esinx+xesinxcosx