how find dy/dx of parametric equations.
We start with parametric equations of x=2t+3 and y=3t^2+3t+2.
To find dy/dx, we need to work out either (dy/dt)/(dx/dt) or (dy/dt)*(dt/dx). This makes the dt's cancel each other out, allowing us to find dy/dx. First, we will differentiate our y=3t^2+3t+2. This gives us dy/dt=6t+3. To find dx/dt, differentiate x=2t+3 to give dx/dt=2.We can then do (dy/dt)/(dx/dt) to give (6t+3)/2=3t+1.5
SW
Related Maths A Level answers
All answers ▸The population of a town is 20000 at the start of the year 2018. A population model predicts this population will grow by 2% each year. (a) Find the estimated population at the start of 2022.
Given y = 4x/(x^2 +5) find dy/dx, writing your answer as a single fraction in its simplest form
How do I integrate cos^2(x)?
How do i differentiate the equation y = x^2 + 6x + 2 with respect to x.