Q:: Show that the following functions are inverse functions? 5 1- Vx y = x/2 – 4x/2 + 16vx , x > 4

Q: Differentiate the following function. y= Vx+ 1 (4x + 1)2

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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: Differentiate the function with respect to the independent variable. f(x) = %9+ 3x? %3D f'(x) =O

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Q: 35) y= sec V-4x² – 1 |

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Q: find an equation for the inverse fuction

A: Fin the inverse of the function f (x) = ln (x + 3). First replace f (x) with y as y = ln (x + 3)…

Q: Differentiate the following function. r(t) = (e'.4 e ,-9e 3") (1e 6- r'(1)=

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Q: . Find the inverse of the function f(x) = 1 + (1/x), x* 0. Then show that f(f(x)) = f(f(x)) = x and…

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Q: Find function f (x) and gCx) so the giren function can be expressed hcx)=4 as (x+2)?

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Q: Find two nontrivial functions f(x) and g(x) so f(g(x))=(−4+4x)^4 outside function f(x) = ? inside…

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Q: se THE INVERSE FUNCTION RULE TO FIND FOR FACH oF THE rou oWING : (OY a. X= Y+y+y3 1. 本

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Q: 37) y= sec V–3x² +4

A: Given:- y=sec-3x2+4 To find:- Differentiate given function with respect to

Q: Consider the following function f(x) = - 3x? + 5x – 2 where r E (-, +0). Find the following:

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Q: Q4:- Find the algebraic form of the following functions:- a) f(x) = tan (secx) -1 %3D

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Q: Find the 200th deriunte of f(x) = Xe X-

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Q: Differentiate the following function. r(t) = (4t,8/i,

A: We have to find derivative

Q: Consider the following function: f(x, y) = y³In(-x³ + 2y²) Step 1 of 2: Find f. .

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Q: Differentiate the following function. 4.x y = 2 – tan a y' II

A: We have to solve

Q: Consider the following function f(x) = - 3x? + 5x – 2 where r E (-0, +0). Find the following:

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Q: Differentiate the following function.   y = (ex + 1) / (x - 1)

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Q: Differentiate the function.

A: Given function is hx=lnx+x2-1 Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: Differentiate the following function. f(x) = e 3x +5 d (e 3*+5) dx II

A: The Chain-Rule of derivative states that ddxfgx=f'gx·g'x.

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x    . e…

A: Derivative of a function is the rate of change of function with respect to another variable.…

Q: Which of the following functions is entire? For each, justify. 1. f(z) = 2(32) 2. f(z) = (x² - y²) -…

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Q: Consider the function f(x) = 12x+ 45x - 200x + 3. f(x) has inflection points at (reading from left…

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Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: Integrate the following functions with respect to x: i. 2x +x3 +5x4 y = x2 ii. y = (x +1)(x- 2)

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Q: Consider the following function: f(x, y) = – 10xe-3y Step 1 of 3: Find frx.

A: Given function:                                  f(x, y)=-10xe-3y   To determine:…

Q: Consider the function f(x) = 12° + 45x – 360x + 3. - f(x) has inflection points at (reading from…

A: We have given the function f(x)=12x^5+45x^4−360x^3+3

Q: Plot the following function 0 <x< T sin(x) f(x) = } -0.81x2 + 7.64x – 16 π<x< 2π -1.62x2 + 25.46x –…

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Q: Differentiate the following function. r(1) = (e!2e!-4e) %3D r(1)=

A: We can solve as follows

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: 4. What is the inverse function rule as to y = f (x) dx a) b) - d): dy xp dy 引

A: Inverse of y=f(x)  is x=f-1(y)

Q: use THE INVERSE FUNCTION RULE TO FIND 1. FOR FACH or THE Fou OWING : (dY 本 y

A: Here we have to find out dy/dx.

Q: 3. Are the following functions strictly monotonic? (a) y = -x – 2 (b) у %3D 2x3 + 6х — 4. For each…

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Q: Differentiate the function with respect to the independent variable. f(x) = - 8x+ e + e f'(x) = D

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Q: Differentiate the following function. f(x) = - 2 e 4x d (-2e **) =D - 2 e 4*) %3D dx

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Q: Plot the following functions 1. y = - V2x + 1 2. y = (x- 1) + 2 3. y=-1 2x 4. y? = 6 -x 5. y = 1-…

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Q: Differentiate the following function. 3 f(x) = 9 e 9 e dx %3D

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Q: Differentiate the following function. r(t) = (e',7e -1, -9e4) r'(1) = (OOD

A: Derivative

Q: Consider the following function: f(x, y) = – 9x³y6 – 4x²y4 – 23 Step 1 of 3: Find fr .

A: In this question first I am going to find the first order partial derivative with respect to x and…

Q: O:A- Find for the following functions: - 1 . 1+secy =1+x* 2- If y =1 and t = v2x +1

A: Given  1) The equation is  xy21+sec y=1+x4

Q: 5. j(x) = 5x – 6 -9- %3D

A: To find inverse of  jx=5x-6

Q: 4. If y(T) = 1 – exp(-bNT), find the inverse function T = T(y). (Show me your work!)

A: Answer

Q: Identify the outside and inside functions for each of these composite functions.(a) y =√4x + 9x2…

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Q: Which of the following functions is entire? For each, justify. ƒ(z) = (x² − y²) + + 2xyi

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Q: B2. Write the following beam deflection for a beam of length L = 4 m as a piecewise function y = 2x…

A: The unit function Hx-a is defined as :Hx-a=0   for x&lt;a1   for x≥aHx-3=0  for x&lt;31  for x≥3

Q: Differentiate the following function. r(t) = (4t %3D

A: We have to find out derivative of given functions

Q: Differentiate the following function. 6x y = 6 – tan x

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Q: Let f(x)=sin(2x+4). Which function g(x)  represents f  shifted two units to the right and one unit…

A: We can use the graphical analysis in order to solve the given problem.