x(t) = 5cos(2t), y(t) = t^(7/2), and t = pi/4
i need to find the tangent line at point t=pi/4 in the form y=mx+c
it is my understanding that
dy/dx = (dy/dt)/(dx/dt)
m = dy/dx
however when i evaluate dy/dx, and find y = (Pi/4)^(7/2), my answer appears to not be correct, i double checked on this calculator (which i know is likely to be unreliable) and my logic was the same, here is the link.
i only include it so you can see the working out as i dont know how to format well on this site yet and dont want to create an eyesore. I however came to the same answer, the same derivatives, and the same value for
y when t = pi/4, and i have no idea what i am doing wrong.