Home
Class 12
MATHS
x = 4t, y = (4)/(t)...

`x = 4t, y = (4)/(t)`

Text Solution

AI Generated Solution

To solve the problem of finding \(\frac{dy}{dx}\) given the parametric equations \(x = 4t\) and \(y = \frac{4}{t}\), we will follow these steps: ### Step 1: Differentiate \(x\) with respect to \(t\) We start by differentiating \(x\) with respect to \(t\): \[ \frac{dx}{dt} = \frac{d}{dt}(4t) = 4 \] ...
Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.7|17 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.8|6 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.5|18 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the tangent and normal to the curve x = a sin 3t, y = cos 2 t " at " t = (pi)/(4)

A ball is projected from origin at time t= 0. The x and y coordinates of its displacement are given by (x = 4t^2) and y = (3t - 5) . Then its instantaneous velocity at any time t is

If x=sin tcos 2t,y= cos tsin 2t ,then " at " t= (pi)/(4) ,(dy)/(dx)

The slope of the tangent to the curve x=2 sin ^(3) t, y=3 cos ^(3) t " at " t= (pi)/(4) is

Equations of the tangent and normal to the curve x=sqrtt, y=t- (1)/(sqrt t) at the point t=4 are respectively

If x=a cos^(4)t, y=b sin^(4)t then (dy)/(dx) at t = (3 pi)/(4) is

If x = a (cos t + t sin t), y = a (sin t - t cos t), then at t = pi//4,(dy)/(dx)