Question: Find the derivative of the function. Simplify where possible. (a) y = (tan-1 x)2 (b) y = sin-1(2x + 1) (c) G(x) = 1 -

Find the derivative of the function. Simplify where possible.
(a) y = (tan-1 x)2
(b) y = sin-1(2x + 1)
(c) G(x) = √1 - x2 arccos x

Step by Step Solution

★★★★★

3.40 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Y tan 1 2 y 2tan 1 x 1 d dxtan 1 x 2 tan 1 x 1 1 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

786-C-D-E (437).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Find the derivative of the function. a. b. F(x)=): el

Q:

Find the derivative of the function. a. b. x)cos(t2) dt

Q:

Find the derivative of the function. Simplify where possible. 41. y tan 42. y = Vtan-x 44. h(x) = VT- x arcsin x 46. y = tan-(x - VI +x) 43. y = sin-(2x + 1) 45. H(x) = (1 + x) arctan x 47. h(t)...

Q:

35, 49, 53,59 with work please. Thank you 216 CHAPTER 3 Differentiation Rules function. If y = xP/4, then y = x. Use implicit different tion to show that 35-38 Find y" by implicit differentiation. 9...

Q:

2. Find the derivative of each function. Simplify if possible. a) f (x) = 5 (vx - 3) (2 - 3x2) b) g (x ) = 3x-6 (x+1)

Q:

Problem 1: Guided Derivative Calculation (38 points) One of the joys of the Derivative Rules we have learned is how they allow us to take derivatives of very complicated functions. However, it can be...

Q:

Please answer all questions and show all work. Answer key is shown in the pictures, I need help showing the work, so please show all work and provide a step by step breakdown / explanation and write...

Q:

1. [-/0.9 Points] DETAILS LARLIFESCICALC1 2.2.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the slope of the tangent line to y = x" at the point (1, 1). (a) y = x9/2 2.5 2 y 1.5 (1,1) 0.5 1.5...

Q:

Continuity/ Limits involving infinity/ Starting Differentiation 1. Evaluate the following limits: 6pt (a) lim 4 X -+2 (b) lim 2x x-+2 (c) x -3 lim x-+2 x+1 (d) lim x2 - 4 x -12 x - 2 (e) lim Vtz + 9...

Q:

Solve the problem. What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a? Group of answer choices The limit ofasfrom the left...

Q:

How could you distinguish between the isomers Cyclopentanecarboxylic acid and 4-hydroxycyclohexanone by 1H and 13C NMR spectroscopy?

Q:

Sketch and explain in detail with practicality and concrete outcomes your tentative 15 years specialized career path in SCM (Supply Chain Management) and each evaluation criteria explanation done in...

Q:

Using an activity - based costing system ( ABC ) enables a firm to calculate overhead variances for:

Q:

4. A parti.:ular stakeholder has ,1 reputation for requesting many ch.rnges on projects. You'll be working with this stakeholder, as you've just been assigned as project maruger of a project with...

Q:

Evaluate the limit. tan 4.x lim 0 x + sin 2.x

Q:

Use Newtons method with the specified initial approximation x 1 to find x 3 , the third approximation to the root of the given equation. (Give your answer to four decimal places.) + 4 = 0, x1 - 1

Q:

Differentiate. y = t sin t/1 + t

Q:

Horton Housewares' accounts receivable decreased during the year by $13.0 million. Required: What is the amount of cash Horton received from customers during the reporting period if its sales were...

Q:

It is acceptable to record prepayment of expenses as debits to expense accounts, if the unused or unexpired portions at the end of an accounting period are transferred to prepaid expense (asset)...

Q:

1 . There are five vital statistics derived from raw population data that indicate the overall health of a country.List and define the five 'vital statistics' .Describe how each of the five are...