HomeWorkS> Graph the function f (x) = v1– x² , 0< x <1 and then find the inverse of the function>• If f(x) = x* Identify the domain and range of the inverse function.1> If f(x) =x + 7, estimate the derivative of the inverse function at (x-f(a)) and (a=-1)KIRKUK UNIVERSITY5> If f(x)= x³ & g(x) = xa) Show that g(x) is inverse of f(x) b) Find the tangent slope for f(x) & g(x) at (1,1) and (-1,-1)c) What lines are tangent to the curves at the origin?> Express In 0.75 in terms of In 2 and In 3In(3x? – 9x) + In1Use the properties of logarithms to simplify the expressionIfy = In(In(In x)),find dy/dx> Ify = In(sec 0 + tan 0),find dy/dx4 sin e原:Evaluate1-4 cos 0If y = (x2 + 1)(x– 1)2 , use logarithmic differentiation to find the derivative of y withrespect to the given independent variable.Reference: Thomas Calculus, 13th Edition by George B. Thomas.2005-1420

We have to sketch the function first.

Answered: > Graph the function f(x) = V1– x² ,0

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> Graph the function f(x) = V1– x² ,0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 55E

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Question

HomeWorkS
> Graph the function f (x) = v1– x² , 0< x <1 and then find the inverse of the function>
• If f(x) = x* Identify the domain and range of the inverse function.
1
> If f(x) =x + 7, estimate the derivative of the inverse function at (x-f(a)) and (a=-1)
KIRKUK UNIVERSITY
5
> If f(x)
= x³ & g(x) = x
a) Show that g(x) is inverse of f(x) b) Find the tangent slope for f(x) & g(x) at (1,1) and (-1,-1)
c) What lines are tangent to the curves at the origin?
> Express In 0.75 in terms of In 2 and In 3
In(3x? – 9x) + In
1
Use the properties of logarithms to simplify the expression
If
y = In(In(In x)),
find dy/dx
> If
y = In(sec 0 + tan 0),
find dy/dx
4 sin e
原:
Evaluate
1-4 cos 0
If y = (x2 + 1)(x– 1)2 , use logarithmic differentiation to find the derivative of y with
respect to the given independent variable.
Reference: Thomas Calculus, 13th Edition by George B. Thomas.
2005-1420

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