3. Let f(x) = ={ and x² if 0≤x≤ 1 √2x-x² if 1

Q: - For the following graphical representation of a function f(x): (1) Mark the points on the graph…

A: Since you have posted a question with multiple subparts, so we will solve only the first three…

Q: In(3x) Given f(x) the derivative f'(x) is 3 1 3x 1 3x 3 3

A: f(X) = ln(3x)/3

Q: Make a sign diagram for the derivative of the function. f(x) = x² + 4x³8x² + 52 f'(x) ? 0 f'(x) ?0 X…

A: The given function is

Q: Find the x-coordinates of all of the points on the graph of f (x) where the derivative equals 0.…

A:

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: given the following information about its derivative: f'(x) -2 f'(x) = 0 at x = -2 -10

A: We will use relation between derivative  and character of the graph to draw

Q: 6. Apply the First-Derivative Test, to identify all relative extrema of f(x) = x3- Answe homev 16…

A: Given query is to find the relative extrime.

Q: Evaluate the derivative of y = (x 2+ 2x + 1)2usingd/dx (ƒ(g(x)) = ƒ′(g(x)) # g′(x)

A: We have to evaluate the derivative ofy = (x2+ 2x + 1)2usingddx(f(g(x))=f'(g(x))*g'(x)

Q: ph represents the derivative function f'(x) of a function f(x). rval of increase and decrease of the…

A:

Q: Let f be a function of x defined by ex f(x) + 15x-9x² =0. The derivative of f at x is f'(x) =

A:

Q: y 4 y = f'(x) 4. 2. 2.

A: Here domain of the function is not clear that causing confusion.

Q: 2. Find the derivative of each function a) f(x) = x³e/x et3+7 b) g(t) %3D t2 )듬x리 In(2x + 1) 8x+9 x3

A: According to our guidelines we can only answer 3 subparts of a question, rest you can repost

Q: Draw the graph of any function f(x) for which the derivative at 0 exists and equals 1, ie f'(0) =1.

A: Given, f'(0) = 1

Q: 6. Consider the DERIVATIVE f' graphed below. Sketch a possible graph of the original function f on…

A:

Q: Find the value of A B 3 16 fy' if y 314 3 16 In x =e4. when x = e X

A: according to bartleby we do only first part of multiple questions y=xlnxd dx(lnx)=1xd…

Q: 2. Use the definition = f'(x) = limw-x- S(w)-r(x). to find the derivative of w-x y = tan x.

A:

Q: Consider the graph of f(x), the derivative of f(x). Find each of the following: You must use…

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Q: p(x) = (-2x)f(x), q(x)= f(g(x)), r(x)= 31 Use the table to find the derivative values. f(x) %3D

A: