y-values 9 8 N 6 5 4 3 2 If f(x) = f'(1) = g(x) 1 g(x) h(x)' then 3 x-values 2 4 y-values 5 4 3 2 h(x) 1 2 3 x-values

Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: y y (x₁, y₁) f'(x₁) = ? ******** y = f(x) = ? (x₁, Yi) X y = f(x) ४ ✓ Choose... Ordinary…

A:

Q: f(x)= 4x + 2 Domain = {-3, -1, 0, 2, 3} List the range }

A: The given function fx=4x+2 Domain -3, -1, 0, 2, 3 We have to find the range of the function.

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

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Q: If h(x)  =   x  +  1     if x˂  -1                               2  + 2x    if x ≥  -1        Find…

A:

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: 4x-1 if-4sxs2 If f(x) = find: (a) f(0). (b) f(1). (c) f(2), and (d) f(5). x'-2 if 2<xs 5 (a) f(0) =|…

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Q: r 4-5x 3. f(x)=- ; f'(-1)

A:

Q: Find the interval where the function is concave up. Find the interval where the function is concave…

A: for concave up  f"(x) &gt;0 and for concave down f"(x) &lt;0

Q: 3. 5. 17. (f+g) (x) (f-g) (x) (fg) (x) If f(x) = 4x² + 3x -1 and g(x) = -8x + 5, find: (f+g) (-1)…

A: Since you have posted question with multiple parts. As per guidelines, we are supposed to answer…

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

A:

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) q(x) = g(x) y 12 10 8 6 2 -2 6 8 10 (a) Find p'(4).…

A: a) Given that p(x)=f(x)g(x)So, p'(x)=f'(x)g(x)+f(x)g'(x) [product rule]We plug…

Q: Find the following using the table below. X 1 2 3 4 3 4 f(x) 2 1 f'(x) 2 4 3 1 g(x) 2 4 3 1 g'(x) 2…

A: 1) given function h(x)=f(x).g(x)Derivative w.r.t 'x' by using the product ruleformula of the product…

Q: Find f" (x) if f (x) = 3(2x¹ + 2x² + 1)¹. 48 (2x³ + x) (2x² + 2x² +1)³ 48 (6x² + 1) (2x² + 2x² + 1)²…

A:

Q: 7. (a) f(x) < 0 X= -1 X = 1 (b) f(x) 2 0 41 y. 3 y = 0 -3 3- -3

A: Graph of the function is given we have to finda) f(x)&lt;0b) f(x)≥0

Q: If F'(x) = f(x) and F(0) = 0, find F(b) for b = 3, 5, 7, and 9.

A: Given graph of f(x)

Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

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Q: Suppose that for two functions f &amp; g, we know the following information:f(8) = 16f'(8) = 6f(3) =…

A: The given composition function is

Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: QUESTION 7 Find and simplify the difference quotient x + h)-fixl, hr0 for the given function. fx) =…

A: Difference quotient

Q: Suppose f(x), f'(x), g(x), and g'(x) have the values shown: -8 - 2 10 -9 -7 - 6 f(x) 3 -7 8 -9 -1 -9…

A:

Q: f(-2)= f(1)=

A: Given:

Q: Sketch the following functions. Show all your work. N a) Domain b) Intercepts c) Symmetry d)…

A:

Q: 10. If f(x) = 2x³ - 3 x3, then f'(1) is which of the following? (B) -3 (C) -15 (E) 7 (A) 15 (D) -1

A: given function is

Q: Find the derivative of the following function by first expanding the expression. f(x) = (2x + 7)…

A: Given that the function

Q: f(x) = x² + 3

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 7x-2 , find f (x). Answer: (Correct to 3 decimal places) f'(x) = (-5 x + Let f(x) = %3D -4x-5 1)/(_…

A: fx=7x-2-4x-5 Now let y=7x-2-4x-5

Q: 3. Given that f(x) = -x³ + 4x- – . Evaluate the value of f"(-)

A: