Question 9 If f'(x) <0 for 1

Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

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Q: The lower limit is less than 0, so part two of the fundamental theorem of calculus cannot be…

A: The second part of the fundamental theorem of calculus states If f(x) is a continuous function on…

Q: Let F(x) be a function whose derivative F' (x) = f(x) is graphed below: -3 -2 3 6 --1 = -11.75,…

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Q: If f(x)= 8-cosh x/6+cosh x then f'(x)=

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Q: If f(x)=tanh(3x)f(x)=tanh(3x) then f'(x)=f′(x)=

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Q: ax²-3 -,х> 1 x-1 Value of a and b that will make f (x) = continuous everywhere are ... lbx + 2, х <…

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Q: Find a function

A: This is very intresting question because there are so many function on an interval whose first…

Q: 75. F(x) has a negative derivative over (-, 2) and (5,9) and a positive derivative over (2, 5) and…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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)…

Q: How do i figure out whether this function is continuous or not (proving it) without given at which…

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Q: Question 25 Liaten (-) - The Intermediate Value Theorem can be applied to the function on the…

A: Given :  f(x)=x2+1x-4interval : [1, 10]

Q: In cubic spline interpolation, † the first and the second derivatives of the spline is continuous at…

A: CUBIC SPLINE:- C2-continuous            pi(t)=ait3+bit2+cit+di    now the solution of the given…

Q: (3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each…

A: Length of wire = 10 cm

Q: QUESTION 3 Determine where the given function is concave up and where it is concave down. f(x) = x 2…

A: This question belong to applications to derivatives.we find derivatives of given function to find…

Q: 3. If f(x) X-x find F(tanx) 1+x2

A: 7.The given limit is: limx→-∞x23x2-4x+1 To evaluate the value of the limit.

Q: Suppose that the second derivative of a function f is f"(x)= -(x+1) (x – 1)²(x - 4)°. Determine the…

A: To find the inflection point and intervals of concavity

Q: True statement of f(x) = is x² – 1 1. O f(x) increase on the interval (-infinite, 1) 2. O f(x)…

A: We know that,  ddxuv =vu'-uv'v2 Where u'=dudx and  v'=dvdx

Q: In the given question, consider the function on the interval ( 0, 2π) (a) Find the open intervals on…

A: A function is increasing if the slope of the function is positive and decreasing when slope is…

Q: The function f is defined by f(x)=x/(x+2). What points (x, y) on the graph of f have the property…

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Q: Find the numerical second derivative value f''(0.5) from the data set using the finite difference…

A: given the function is f(x)=x3+0.4x2+x find the derivative  f'(x)=3x2+0.8x+1 again find the second…

Q: The maximum rate of change of the function 1 f(x, y) = at the point (1, -2) happens in direction of…

A: I have find the direction and value of maximum rate of change of given function and say that given…

Q: 3) (a) Let f(x) = -x²-x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

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Q: The derivative of the function f (x) 3x tan x is Select one: O f'(x) = 3 tan x + 3x sec² x O f'(x) =…

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Q: True or False The cube root function is odd and is decreasing on the interval (-∞,∞).

A: we have to tell whether the given statement is True or False

Q: Find the equation f(x)=1+csc(x)-√ cos(x) at the point (2π/3,4+ √ 3/2 √ 3

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Q: (5) Match the graphs of the functions to the graphs of their second derivatives. Original Functions…

A: Given: a function their derivative.

Q: Let f(x)= x2 + sin x - 2 cos 2x. Find (f-1)'(-2)

A: Given: fx=x2+sinx-2cos2x To find: f-1'-2 Now, we know that f-1x' = 1f'f-1x

Q: f'(x) = (2x – 1)ee".

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Q: 3. Suppose a car travels at a constant rate of 70 kph for 2 hours and travels 55 kph thereafter.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. Find the average rate of change of the function f(x)= cos² x from x =- x = ". Use to - exact…

A: Rate of change=f(b)-f(a)b-a Given:  f(x)=cos2x, x=-π6,π4

Q: What is the second derivative of f (x) =csch-(tan(x))2 A f"(x) =csc(x)cot(x) f"(x) =csc (x) sec (x)…

A: dcsch-1 (x)dx=-1x1+x2 dtanxdx = sec2x

Q: 9 f:(-0,0) U (0, ∞) → (∞,0) U (0, ∞0). Where f(x) х Show that f(x) is continuous at x=3 with the…

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Q: 1. It is the process of finding the set of all functions whose derivative is known. B.…

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Q: The limit represents the derivative of some function fat some number a. State such an f and a. lim…

A: Given that limh→0 cosπ+h+1h. This implies that, limh→0 cosπ+h+1h=limh→0 cosπ+h--1h=limh→0…

Q: 5. Find f '(x) if f(x) = Vx+3 using the limit definition of the derivative. You must show all steps…

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Q: The limit represents the derivative of some function f at some number a. State such an f and a.…

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Q: Suppose the derivative of the function y = f(x) is y = x!/5(x +5). Determine the intervals on which…

A: Given y=fxy'=x15x+5 To find intervals in which f(x) is increasing and decreasing

Q: 13. Suppose a continuous function f and its derivative f' have values table. Given that f(1) 2, use…

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Q: QUESTION 1 Is The Function x+2x-4 Increasing or Decreasing at the Point (-1, -7)? Explain Why? O a.…

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Q: This curve of function belonging to th

A: It is observed from the given plot that the critical points are 0,1, and 3. Consider that f'x gives…

Q: The rule of the derivative of a function f is given. Find the location of all local extrema. f'(x) =…

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Q: The maximum rate of change of the function 1 ----> at the point (1,-2) happens in direction of and…

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Q: The maximum rate of change of the function 1 f(x, y) = Select one: True O False - X - y at the point…

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Q: 1+coshxsinhx+(sinhx)2 It is true that cosh x = Select one: True False Using Increasing/Decreasing…

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Q: In calculus was claimed  that increasing (or decreasing ) functions  defined on a single interval is…

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

Q: prove that f(x)=3x^3-4x^2-x-3 is continuous over [-3,3]

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: The derivative of a function intervals is decreasing ? is given by f’ (x)=e^ sin x -cos x-1 for 0 <…

A: topic - decreasing intervals of a function f is decreasing on intervals where f'(x) is negative

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.