Differentiation of Inverse Trigonometric FunctionsShow DETAILED SOLUTION!Reduce your final answer to its lowest term!!!3.) y'of y = arccos arcsin (4.) y"of y = varcsin 2x5.) y'of y = arctan arcsin (x² -a²6.) y'of y = arccosх-аa+ arccsc+ arcsinx2-a?ax-a7.) y"ofy = (x – a)V2ax – x² + a²arcsin18.) y'of (y² sin x + y)7= arctan x

Answered: Image /qna-images/answer/019a0db0-9ff5-4878-a986-bfd41aeb61c8.jpg

Answered: 3.) y'of y = arccos[arcsin ()

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 57E

See similar textbooks

Similar questions

Linear approximation for the sine function Find the linear approximationto ƒ(x) = sin x at x = 0 and use it to approximate sin 2.5°.
Limit of theta as it approaches three pie over two from the left of the function negative one third tan of theta
INTEGRAL OF TRIGONOMETRIC FUNCTION Put your clear solution ∫sin⁡8x cos15x dx Choices: A.) -1/23 cos⁡23x + 1/7 cos⁡7x + C B.) [-1/2 cos⁡23x + 1/7 cos⁡7x ] + C C.) 1/2 [-1/23 cos⁡23x + 1/7 cos⁡7x ] + C D.) None of the choices
Derivatives using Delta Method SOLVE no .1 & 2
Derivative of the Inverse Sine d /dx arcsin x = (a) Sketch a graph of y = tan x on the restricted domain (− π/ 2 , π/ 2 ). Give the range in interval notation. (b) Define the inverse tangent (arctangent) function by writing y = arctan x if and only if x = tan y, where y ∈ (− π / 2 , π /2 ). Sketch a graph of the arctangent function. Give the domain and range of the arctangent function. How is this graph related to the graph of the tangent?
Tangent line of a graph of f(x)=x(b^x)at x=1 is equal to the tangent line for the graph of g(x)=-4-sin(1-e5x) at x=0. a)what is the value of the positive constant b, and what is the equation of the tangent line?
Derivative of cot−1 x and csc−1 x Use a trigonometric identity to show that the derivatives of the inverse cotangent and inverse cosecant differ from the derivatives of the inverse tangent and inverse secant, respectively, by a multiplicative factor of -1.
Linear approximation Find the linear approximation to ƒ(x) = cosh x at a = ln 3 and then use it to approximate the value of cosh 1.
INTEGRAL OF TRIGONOMETRIC FUNCTION Put your clear solution ∫((cos^5 2x)/(sin^3 2x))dx Choices: A.) 1/4 (csc^2 (2x) - 4 ln|sin⁡2x | + sin〗^2 (2x) ) + C B.) 1/4 (-csc^2 (2x) + 4 ln|sin⁡2x |+ sin^2 (2x) + C C.) 1/4 (-csc^2 (2x) - 4 ln|sin⁡2x | - sin^2 (2x) + C D.) None of the choices
(a) Show that the tangent function f(x)=tanx is one-to-one on (−π/2,π/2); its inverse defines the function g(x)=arctanx. (b) Determine the domain of the arctangent function. (c) Determine Dx(arctanx) and its domain.
The points of inflections and the local maximum and minimum values of the function y=2sinx + sin2x in the domain of [0,2π].
Differential Equation of parabolas with vertex on the y-axis, with axis parallel to the x-axis, and with distance from focus to vertex fixed as a.

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS