Find the range of f(x)=x-5x+6. O (-00, 1/4] O -1/4, co) O (-00, 00)

Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

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Q: The function f(x) = x* - 18z is increasing on the intervals

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Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

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Q: Find the average rate of change of f(x)=3x2 +2x−2 on the interval [2,t].

A: Consider the function f ( x ) on the interval [ 2,t ],

Q: use the second derivative test to find the local exterma of the function  f(x) =x3-9x2-48x+72 on R

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Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: Find the interval/s where the function is increasing and where it is decreasing: f (x) = x³ – 3x + 3…

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Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x ln…

A: Now differentiating with respect to x, we get

Q: When we introduced the quotient rule, we didn't actually prove it. Let's do that using only the…

A: Given Data: Function: fxgx=fx·gx-1   The chain rule for derivative is, ddtfgt=f'gtg't ......1   The…

Q: use the second derivative test to find the local exterma of the function f(x) =x3 -9x2-48x+72 on R

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Q: 6) Find f(x) for f(x) = sec(vx2 + 1).

A: We are solving the first question and for the next question post the question again and alsomention…

Q: Q4: Use the limit definition to compute the derivative, f(x), for 2.F(x) = Vx³ – x

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Q: Find the extreme values on the interval:  f (x) = ex − 20x − 1, [0, 5]

A: Given, fx=ex-20x-1 in [0,5]

Q: Find f'(x) for f(x) = 3 arctan(4x² – 3) %3D

A: we use the formula f'(x) of arcton x=1/1+x^2.

Q: Find the absolute extreme values of the function on the interval. 1) f(x) = tan x, - 7sxs6 4

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Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

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Q: (5) Find the local maximum and minimum values of f(r) = 1+3x2 – 2.r using either the First…

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Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given: fx=tan-1xx2+2 we know that given functionfx is increasing, if f'x is greater than zero and…

Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: %3D Apply the Chain Rule to find the tangent line to f(x) = 4v2x- 6e2-*at x = 2

A: We want to find the tangent of the given function at x=2 We know that slope of the tangent at a…

Q: Find the domain of the function: f(x) = ln(4 - x)

A: we have to find the domain of the given function. f(x)=ln(4-x)

Q: True or False The graph of y = cos x is decreasing on the interval (0, π).

A: True or False The graph of y = cos x is decreasing on the interval (0, π).

Q: 55. By normalizing the function f(x)==-defined in the domain [0, 2], we will get as a result the…

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Q: Determine the extreme values of the function (exact coordinate(s) f(x) = 2sinx – x on the interval x…

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Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to TU 2e4

A: The explanation of answer as follows :

Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: Find the derivative of the function f(x) = 4x2 – 13x – 30 by definition of derivatives f(x + h) –…

A: We have to find the derivative of the given function: fx=4x2-13x-30 by the definition of…

Q: Find the inflection points of the function f(x) = x 2 ln x

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Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

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Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: (A) Find the absolute maxima and minima for x3 y = - x + 5 over 3 [-V2, v2]. (B) Use the second…

A: When on critical point f''&lt;0 then that critical point give local maximum value of f(x)  When on…

Q: Differentiate. f(x) = 5x^5 - 8cos(x) f'(x) = ?

A: Given f(x)=5x5-8cos(x)

Q: On the graph of f(x)=sinx and the interval [0,2π), for what value of x does the graph cross the…

A: Plot the graph of sinx given below

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x2 -…

A:

Q: 6. Use the limit definition of derivative to find f'(x) for the functions below. (a) f(x) = /4r – 1…

A: limit definition of derivative is f'(x)=limh→0f(x+h)-f(x)h

Q: Find the average rate of change of f(x) = 3x2 +2x – 2 on the interval [2, t].

A: 555

Q: On the graph of f(x) = sec x and the interval [0, 2Δ), for what value of x does f(x)= -1?

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Q: On the graph of f ( x ) = sec ( x ) and the interval ( -2π, 0 ], for what value(s) of x does f ( x )…

A: f(x) = 1 on, (-2π, 0] Implies, sec(x) = 1 on (-2π, 0] i.e. x = 0 on (-2π, 0] So, x = 0  The graph of…

Q: 2- By using mumerical approximation ,the value of the derivative (f'(x)) in the table is true f(x)…

A: To find the derivative.

Q: Use the second derivative to determine f"(3) for the function f(x) = x² In (x) 2ln(3) +2 O 3ln(2) +3…

A: topic - derivatives

Q: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of g at x=3 is…

A: Given that: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of…

Q: Q4: Use the limit definition to compute the derivative, f'(x), for 2 1.F(x) = x3 2.F(x) = Vx³ – x

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Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a

Q: Find the x-value for all relative extrema of f(x) using the first derivative test. 1+x + x² f(x) =…

A: Given: The function is  fx=1+x+x2x2+x-2   To determine: The x value for all relative extrema of f(x)…

Q: Find the point on the graph of f(x) = Vx that is closest to the point (8, 0). (х, у) -

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Q: Find the average rate of change of the function from x1 to x2 f(x)= 5x+7  from x1=-1 to x2=0

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.