Solving Inverse Secant Problem: Finding y = sec^-1(9s^4 + 7)

  • Thread starter Thread starter Jan Hill
  • Start date Start date
  • Tags Tags
    Inverse Secant
Jan Hill
Messages
63
Reaction score
0

Homework Statement



Find the value of y = sec^-1(9s^4 + 7) with respect to s

Homework Equations






The Attempt at a Solution



secy = 9s^4 + 7

but where do I go from here?
 
Physics news on Phys.org
Hi Jan! :smile:

(try using the X2 icon just above the Reply box :wink:)

Are you trying to find s in terms of y?

Then continue by rearranging your final equation, putting s on the left. :smile:

EDIT: ohhh! … are you trying to find the derivative of y with respect to s?

then differentiate your final equation, using the chain rule for the LHS. :smile:​
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

What is the Derivative of Inverse Secant and its Graph Representation?
Replies
19
Views
6K
Derivative of Secant: Find dy/dx
Replies
2
Views
1K
Derivative of an inverse function
Replies
5
Views
2K
Finding the Slope of Secant and Tangent Lines
Replies
2
Views
2K
Secant Method Minimum Estimation
Replies
3
Views
2K
Inverse of a multivariate function
Replies
12
Views
3K
Slope of Secant Homework: y=x^2+x, P(1,2) & Q(2,6)
Replies
4
Views
2K
Derivative of Inverse Function
Replies
14
Views
2K
Finding the Inverse of 2 (mod 17): Euclidean Extended Algorithm
Replies
6
Views
2K
Proving Injectivity of Shroeder-Berstein Theorem for R to R^2 x R^2
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top