What is the slope of the tangent line to the parametric curve x = t2 + 2t, y = t2 + 1 at t = 1?

Question

What is the slope of the tangent line to the parametric curve x = t² + 2t, y = t² + 1 at t = 1?

A
B
C	4
D	2

Answer 1

slope m = dy/dx at t = 1; dy/dx = (dy/dt)/(dx/dt) = (2t)/(2t + 2) = t/(t + 1); slope m = 1/2

Answer is A: slope m = 1/2