4) The function f has the property that f, f', f" are negative for all values of x. Which of the following could be the graph of f? (A) (B) (D) (E)

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A: Given: The line tangent to the graph of the function f at the point (1,7) passes through the point…

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A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

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A: Plotting: y=sinx, 0≤ x≤ π

Q: 2) What is the Domain and Range of y =Tanx Function Domain: Range:

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A: Given that the tangent line to the graph of a function f at x=2 passes through the point (5,19) and…

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

A: A local maximum point on a function is a point (x,y) on the graph of the function whose y coordinate…

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A: Given: f(x)=x5-2x3+x-1 To find: f'(x)

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Q: 43. Find the function whose tangent line has slope (x + 1)e¯* for each value of x and whose graph X-…

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Q: At what points is the function is continuous y=|2x-1| +4sin(2x)

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Q: Find f'(x). 6. f(x) = 4x + 7x f'(x) = Compare the graphs of f and f' and use them to explain why…

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Q: sketch the graph of a function f whose derivative f' has the given description. f'(x) is negative on…

A: The graph of a function f whose derivative f' has the given description. f'(x) is negative on (1, 3)…

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Q: Find f'(x). f(x) = x5 – 4x3 + x – 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given :            f(x) = x5 - 4x3 + x - 1   To find : f'(x)

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A: use limit definition for evaluating the value  of delta.

Q: 13. In the table of signs, interval 0 < x<÷, is the function increasing or decreasing?

A: A function f(x) is decreasing on the interval (a , b)  if f '(x)&lt;0  for every x in (a , b)

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A: Given query is to find the value of the function at indicated point.

Q: 10. Find a function f such that f'(x) =r' and the line 4x - ļy = 3 is tangent to the graph of f. %3D

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A: Here, f(x)=5x3+2x2+2x

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A: Let f(x) be an EVEN function.

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Q: 3) If a function is continuaus at x=a, then it is differentiaoe at x-a, yes? or NO? why ?

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A: A function is continuous at an interior point c of its domain if

Q: 5) Suppose that f is the function implicitly defined by the equation + tan ( In = evi near the point…

A: Given:       x+y4+ Tanin xy = ey   →1    near the point ( 4, 4 ) eTo Determine: f is an increasing…

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Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

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Q: Suppose that f is a function defined as f(x) = 5x3 + 3x2 + x + 3. Find an equation for the tangent…

A: f(x)=5x3+3x2+x+3Derivative formuladdxxn=n xn-1

Q: Suppose that a one-to-one function f has tangent line y=5x+3 at the point . (1,8)Evaluate (f-1)'8

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Q: A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f, the tangent…

A: Given problem:- A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f,…

Q: Select the graph which satisfies all of the given conditions. f' (-3) = f' (1) = 0 Increasing on…

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Q: If f(x) = 2x2 – x³, find f'(x), f"(x), f''(x), and f(4)(x). f'(x) = f"(x) = f'"'(x) = f(4)(x) =…

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Q: Suppose f is a function with domain [a,b]. If f is an odd function, what can be deduced about a and…

A: According to question f is a function with domain [a, b]  And f is an odd function.

Q: Sketch a graph of the function f(x) : 2 sin +1 6+ 4 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 -9 -8 4 5 -2 -3 -4…

A: Given: The function

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Q: What are the domain, range, and period of the function f(0) = -2cos = -2cos ( - - - 0) + 1₂

A: Let's find domain and range for given  function.

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A: Consider a one - to - one function in an fixed interval.  For the function f(x), in the interval 0…

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Q: Find all points on the graph of 3x² + 4y² + 3xy = 36 where the tangent line is horizontal. y (Give…

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Q: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3,…

A: Graph of f' on the interval -3,2 is given.f'&lt;0 for -3,-2f'&gt;0 for -2,0∪0,2f'=0 at x=-2, x=0.

Q: Sketch a graph of the function f(x) = - 4 cos 6+ 4 2 -8л -7л -бл -5л -4л -3л -2л -л) 2л Зл 4л 5л бл…

A: We need to draw the graph of

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Q: Suppose that f is a function defined as f(x) = xª . drawn to the graph of f at x = 1. Use exact…

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