Sketch the midline and the graph of the function f(x) = 2 - 3 sin %3D 8- 7- 5- 4- 3 -5 -4 -3 -2 -1 4 10 -2 -3 -4 -5 -6 -7 -8- Clear All Draw:

Q: Q4) Write a function file called (y) to find f(x) : | sin(x)/x x 0, f(x) = 1 x= 0.

A: to find : write a function file called (y) to find f(x)                                   f(x) = {…

Q: Determine the local extrema of the function f(x)=sinx−cosx on [0,2π].

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Q: Find the Arc lenght of the graph of the function f(x)=(4/5)x^5/4 on (0,4)

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Q: Sketch the graph of the function. (Include two full periods.) y = -3 tan(Tx) y y 10f 10F 5 5 -1.5…

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Q: Q3 Use Secant Method to find the root of the function. F(x)= cosx + 2sinx + x^2 to 5 decimal places

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Q: FInd the intervals in which the function f(x) =sin(logex) +cos(logex) is decreasing

A: Given function is, f(x)=sin(logex)+cos(logex)

Q: If f(x) = sinh³ x %3D the en f'(x) = ||

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Q: 2. The height of a toy that moves up and down on a spring can be modeled by the function y = – cos x…

A: sin 2x =2sin x cos x

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = sin…

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Q: 3. y = 5x - sec (x) differentiate the given function

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

Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin ,…

A: Given  f(x) = sin x4,   0, 8π We have to find the point of inflection and the concavity of the graph…

Q: 0.5 -0.5 0.5 --0.5-

A: Local maximum of the function.

Q: Find the absolute extrema of the function on the closed interval.                          y = tan…

A: Given function is y=tanx8.

Q: What is special about the functions f(x) = sin x - 1 x + 1' x 2 0, and g(x) = 2 tan Vĩ? -1 Explain.

A: Given that functions are f(x)=sin-1x-1x+1, x≥0 and g(x)=2tan-1(x). The graph of the function…

Q: Find f'(x) if f(x) = etan?x. f'(x) = (sec² x)etan²x f'(x) = (tan? x)etan?x-1 %3D Option 1 Option 2…

A: As we know that: The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And ddxex=exddxtanx=sec2x…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given: f(x)=tanx4, (0,2π)

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x + cos…

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Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin ,…

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Q: List the x values of the discontinuities of the function below: y = In (tan²(x)) over the interval…

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Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. Use the results to write a general…

A: fx=cosxxn When n=1, fx=cosxx Differentiating with respect to x, we get…

Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin ,…

A: Inflections points are those points at which second derivative is 0.

Q: х — 7 - f(x) = %3D 5х + 7 Find an equation for the tangent line to the graph of f at x = 3.

A: Given: fx=x-75x+7 To find the tangent line, we find the slope Therefore differentiate with respect…

Q: Find the point of inflection of the graph of the function f(x)=sin(x/2), [0,4pi] (x,y)= Describe…

A: Derivative f'(x) = 1/2cosx/2 and second derivative f''(x) = -1/4sinx/2; To get inflection point let…

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 05 4 -8 -7/-6 -5 -4 -3 -2 -1 I…

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Q: Find the range and domain of the functions (1) f (x, y) = sin-(y-x)

A: We'll answer the first question. Since the exact one hasn't specified. Please re-submit the question…

Q: Transform the solid black function to match the dotted function. y = (x)2 + O f(x+ +1 10 -18 9 -8 -6…

A: Solution: As we can see in the graph. The dotted graph  is shifting (6,-6)

Q: findthe domain of the function. f(x)=\sin e^{-x}

A: The domain of a function is the values of the variable that can be input into the function. The…

Q: Consider the graph of y = f (x) shown below in blue. Estimate the value of the derivative at X = -1.…

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Q: 4. For what values of x does the graph of f have a horizontal tangent if f(x) = V3 x – 2 sin(x).

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Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin…

A: Given f(x)=sinx4         , 0, 8π

Q: 2. Consider the function f(x) = 1 – x², z ER. Draw the graph of f and calculate the equation of line…

A: solve the following

Q: cos x if x 0

A: We have to find the reason

Q: Question 1 Apply the First Derivative Test to find the minimum value of f(x)=(2x^+2)/x² . Keep 4…

A: The given problem is to find the minimum value of the given function using the first derivative…

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = tan…

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Q: Determine whether the function 1s differentiable. at, X=1$ then sketch a graph of ysf (x).

A: Step:-1 Given that fx = xif x≠12if x=1 And Right , left derivatives are respectively,   f+' 1…

Q: Sketch the graph of the derivative of the function shown. Af(x) 6- 3- Choose the correct graph…

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Q: -he deriva tive of the function y= tan'( 3x+1) when X-0: %3D

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Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin…

A: Given- fx=sinx4,0,8...........(1) As we know that inflection point is a point on the graph at which…

Q: Find the root of the function f(x)=sin x +xe* between -3 and -4. using secant method ɛ = 0 %3D

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Q: Let f(x) = 9 – x² The slope of the tangent line to the graph of f(x) at the point (-3,0) is The…

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Q: Find the x-coordinate on the graph of f (x) = x3 - 12 x where the tangent is horizontal. (A) 1, - 2…

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Q: Sketch the midline and the graph of the function f(x) = 3 – 2 sin (플(-1) %3D

A: Given, The function fx = 3-2sinπ2x-1 We have to sketch the midline and graph of the function.

Q: Find the surface area of a sphere of radius 5 by rotating the graph OI the function x2 between x =…

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Q: Find any relative extrema of the function f(x) = arcsec x − x

A: Maxima: sec-1x -x=f(x) f'(x)=1xx2-1-1f''(x)<0So f(x) has maxima value .

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Integrate and pass that through given point for value of constant

Q: Differentiate the function f(x) sin(x) In(8x) f '(x)= X

A: We have to use product rule with u=sin(x) and v=ln(8x)

Q: 4. Consider the function f (x) = 2x + 1. Find the equation of the tangent to dhe %3D graph of f(x)…

A: The given function is                                      f(x)=2x2+1

Q: Consider the function f(x) whose second derivative is f"(z) = 5x + 6 sin(x). If f(0) = 4 and f'(0) =…

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Q: Find an equation for f(x) using the secant function. f(x) = %3D

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