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

Q: Find the absolute extrema of the function on the closed interval. y = 5ex sin x, [0, π]

A: Solution:-Given functiony=5exsin x in [0,π]∴f(x)=5exsin xf'(x)=ddx5exsin x∴f'(x)=5ex cos x+5ex sin…

Q: 3x2 tan x If f(x) sec x

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

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Q: 3 - What is the domain of the function f(x) ? sin x + cos X

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Q: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)cosx

A: To describe the behavior of the function as x approaches zero. f(x)=|x|4cosx

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: -4 Find the line 1. f(x) = x³ - 2. f(x) = cos 2 3. f(x)

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Q: 2. Use the definition of derivative to find the derivative for f(x) = x2 + 3x . | f(x +h) – f(x) lim…

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Q: 2 Using the definition of derivative, prove the following: (a) f'(x) = x if f(x) = x %3D

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Q: tan x 1. Differentiate the function: Y = ea* In x

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Q: 5. (a) Use the limit definition of the derivative to find the derivative of f(r) = /5I+1. %3D

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Q: ifferentiate the function: y=(x^4 sin^2(x))^(3)

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Q: Let f(x) = sin (1- 6x*) + (1- Vx). Find f'(x). %3D

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Q: sin 219x Is there a value of n that will make the following function continuous at x= x+0 f(x) = {…

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Q: estion 9 Find the derivative of f(z) = 3z13 - 4+1. IDo? la sin (a) f' (x) =}

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Q: Find f'(x) when f(x) = sin x4 %3D f'(x) =

A: Given fx = sin2x4 We have to find f'x.

Q: True or false: The maximum value of the function y = -2 cos x + 5 is 7.

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Q: f (x) = cos(x) f(x) = tan(sin(x)) g(x) = In(2x2 + 4x + 3)

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Q: 2. Using the definition of derivative, prove the following: 1 (a) f^(x) = if f(x) = Vx 3/x (b)…

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Q: f(x)=x+sinx / x2+cosx f '(x)=?

A: Given function: Now,

Q: True or false: The maximum value of the function y = -2 cos x + 5 is 7.______

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Q: he height in inches of a toy that moves up and down on a spring can be modeled by the function  y =…

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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: Suppose f''(x) = -(sin(x)), f'(0)=6 and f(0)= -1 Find f(π/2) =?

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

Q: 3x2 tan x If f(x) find sec x f'(x) = Find f'(3)=

A:

Q: 3x2 tan x If f(x) find sec x f'(x) = %3D Find f'(3)=

A:

Q: 3x2 tan x If f(x) find sec x f' (x) = %3D Find f'(3)=

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Q: 2. Let f be a function whose derivative is f'(x) = sin²(x) – sin(x) for 0 < x < 5. State the x-value…

A: (a) Consider the given derivative function of f as f'x=sin2x-sinx defined on 0≤x≤5. First integrate…

Q: 2. Differentiate the function. f(x) = e* tan x +7 cos x

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Q: Find the domain of the function. f(x) = (6cosx)/(1 - sinx)

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Q: V2x Let F be the function defined by F(x) = || sin(4t + 1) dt. Find an expression for F'(x).

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Q: x³+4x²+x-6 3 sin(-x)+3x² et f be the function defined at f(x)

A: Function

Q: Cos“ x Find f'(x) if f(x) eT + V3x

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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: Find f' (x) for 7 sec(r) f(x) = 4(1 + 5 tan(æ)) f' (x) = ||

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Q: 5. Let f(x)= x . arccos x. Find f'(-/3/2) ||

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Q: Range of the function f(x) = 2 sin(1/x) is

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Q: Q2: (20 mark) a) Differentiate the function f(x) = tanx -1 secx

A: We can solve this problem using quatiant rule of derivative.

Q: tan x 4 If f(x) sec x f'(x) = %3D f'(1) =

A:

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: )etan²x f'(x) = (tan² x)et %3D Option 2 g tan?x f'(x) = (2 tan x)e

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Q: Consider the function f(x) = 9x² +3. Its tangent line at x = 6 goes through the points (1, y1) and…

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Q: sec2x-2taпх lim X→T/4 1+cos4x

A: Consider the given limit limx→π4sec2x-2tan x1+cos4x   limx→π4sec2x-2tan x1+cos4x=00 Which is…

Q: 2 find range of function f(x)= |cosx|-1

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Q: 11. Use the definition of the derivative to find f'(x) for the function f(x) = x2 + x + 2. Show your…

A: We have to find the derivative of the given function.

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

A: Solution

Q: Find f''(x) for f(x)=(tan(2pix))^3

A: From the given data:

Q: EXAMPLE 2 Find af/ay as a function if f(x, y) = y sin xy.

A: