We appreciate your visit to Find the slope of the curve 7y 4 4x 9 9y 2x at the point 1 1. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
To find the slope of the curve at the point (1,1) for the given function, differentiate the function with respect to x, then solve for dy/dx. Substituting the point (1,1) into the resulting equation will give the slope at that point.
Explanation:
The subject of this question is Mathematics and it involves calculus.
Given the equation 7y⁴+4x⁹=9y+2x, the first step to finding the slope of the curve at point (1,1) is to differentiate the equation with respect to x (dx).
This will provide us with a new equation in the form dy/dx = ..., which gives the slope of the curve at any given point.
The differentiation, using the power rule, will give 28y³(dy/dx) + 36x⁸ = 9(dy/dx) + 2.
Solving the equation for dy/dx (the slope), we then substitute (1,1) into the resulting equation to get the desired slope at that specific point.
This process exercises your understanding of derivatives, power rule, and slope of a curve at a particular point.
Learn more about Slope of Curve here:
https://brainly.com/question/32664841
#SPJ11
Thanks for taking the time to read Find the slope of the curve 7y 4 4x 9 9y 2x at the point 1 1. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
