Question

Find dy/dx, if

(i) x = a sec t, y = b tan t

(ii) x = log t + sin t, y = e^t + cos t

Answer 1

(i) x = a sec t, y = b tan t

x = a sec t

Diff. w.r.t. t on both sides,

dx/dt = (a sec t) = a sec t tan t

and y = b tan t

Diff. w.r.t. t on both sides,

(ii) x = log t + sin t, y = e^t + cos t

x = log t + sin t

Diff. w.r.t. t on both sides,