Quick question: Derivative of a Trig Function

Click For Summary

Homework Help Overview

The discussion revolves around finding the derivative of the function y = sin-1(2x + 3), with participants exploring the simplification of the derivative expression.

Discussion Character

  • Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the derivative formula for the arcsine function and the need to include the derivative of the inner function (2x + 3) in their calculations.

Discussion Status

There is an ongoing exploration of the derivative expression, with some participants confirming the need to apply the chain rule. Guidance has been offered regarding the correct form of the derivative, but no consensus on the final expression has been reached.

Contextual Notes

One participant notes that their assignment is overdue, which may affect their ability to engage further in the discussion.

momogiri
Messages
52
Reaction score
0
Question
Find the derivative of the function. Simplify if possible.
y = sin-1(2x + 3)

I'm wondering if the derivative is as simple as \frac{1}{\sqrt{1-(2x+3)^{2}}} XD
 
Physics news on Phys.org
you forgot to multiply by (2x+3)'.

(arcsinu)'=\frac{u'}{\sqrt{1-u^2}}
 
OMFG BOB YOU'RE BACCKKKKK <3333 XD
My assignment is already overdue, so I can't do anything now XD

So it'd be
\frac{(2x+3)&#039;}{\sqrt{1-(2x+3)^{2}}} to solve?
 
Last edited:
Indeed, and it will hardly make the answer less simple :smile:
 

Similar threads

Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
26
Views
4K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
9
Views
2K