What is the slope of f(t) = (t-1,t+3)f(t)=(t−1,t+3) at t =1t=1?
1 Answer
Feb 16, 2016
Explanation:
The derivative of the parametric function
f(t)=(x(t),y(t))f(t)=(x(t),y(t))
is
f'(t)=(x'(t))/(y'(t))
The given parametric function is
f(t)=(t-1,t+3)
which means that
x(t)=t-1
y(t)=t+3
Differentiation of both functions with respect to
x'(t)=1
y'(t)=1
so the entire parametric function's derivative is
f'(t)=(x'(t))/(y'(t))=1/1=1
This means that, irrespective of the value of