Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
a car drives on a road and the position  by time t is x(t) ,y(t) ,x and y are dereverable functions  which statisfies the equation x(t)^3+y(t)^3=9x(t) * y(t)+1 in the point (0.0) is a speedmeter  and at the time t=0 the car is at the point (0.1) and the distance between the car and the speedmeter  is 50 km.  what is d/dx=?.(use implicit derevation)

a car drives on a road and the position  by time t is x(t) ,y(t) ,x and y are dereverable functions  which statisfies the equation x(t)^3+y(t)^3=9x(t) * y(t)+1 in the point (0.0) is a speedmeter  and at the time t=0 the car is at the point (0.1) and the distance between the car and the speedmeter  is 50 km.  what is d/dx=?.(use implicit derevation)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
See similar textbooks
icon
Related questions
Topic Video
Question

a car drives on a road and the position  by time t is x(t) ,y(t) ,x and y are dereverable functions  which statisfies the equation

x(t)^3+y(t)^3=9x(t) * y(t)+1

in the point (0.0) is a speedmeter  and at the time t=0 the car is at the point (0.1) and the distance between the car and the speedmeter  is 50 km. 

what is d/dx=?.(use implicit derevation)

X(t)´+YCt) = 9 n(t) J(t) +1.
Transcribed Image Text:X(t)´+YCt) = 9 n(t) J(t) +1.
Expert Solution
Solution:

The equation is x(t)3+y(t)3=9x(t)y(t)+1

Differentiate the equation x3+y3=9xy+1 with respect to x:

3x2+3y2dydx=9xdydx+y      ∵ddxfg=gddxf+fddxg3x2+3y2dydx=9xdydx+9y

steps

Step by step

Solved in 2 steps

Blurred answer