# Derivative of Parametric Functions - Page 3

Questions

- What is the slope of #f(t) = (t-2t^2,t)# at #t =-1#?
- What is the derivative of #f(t) = ((lnt)^2-t, tsint ) #?
- A soccer ball kicked at the goal travels in a path given by the parametric equations: x=50t; #y=-16t^2+32t#, Suppose the ball enters the goal at a height of 5ft. How far away from the goal was the kicker?
- How do you differentiate the following parametric equation: # x(t)=te^t , y(t)=e^t/t #?
- What is the derivative of #f(t) = (tsint , t^2-t tant ) #?
- How do you differentiate the following parametric equation: # x(t)=lnt-t, y(t)=(t-3)^2 #?
- What is the derivative of #f(t) = (1/(3t+2) , t/(t^2-1) ) #?
- How do you differentiate the following parametric equation: # x(t)=e^t/(t+t)^2-1, y(t)=t-e^(t) #?
- What is the derivative of #f(t) = (t/(t+1) , t/(4t^2-t) ) #?
- How do you differentiate the following parametric equation: # (t-tsin(t/2+pi/3), 2tcos(pi/2-t/3))#?
- What is the derivative of #f(t) = (t^2-lnt, t^2-sint ) #?
- What is the slope of #f(t) = (t+1,t)# at #t =0#?
- How do you differentiate the following parametric equation: # x(t)=-e^t+4t, y(t)= 3t^2+2t #?
- What is the derivative of #f(t) = (lnt, 3t^2+5t ) #?
- What is the derivative of #f(t) = (t^2-lnt, t^2-cos^2t ) #?
- How do you differentiate the following parametric equation: # x(t)=tsqrt(t^2-1), y(t)= sqrt(t^2-e^(t) #?
- What is the derivative of #f(t) = (e^t/t +e^t, e^t-cost ) #?
- What is the derivative of #f(t) = (t^2-sint , t-1 ) #?
- How do you differentiate the following parametric equation: # x(t)=tsqrt(t^2-1), y(t)= t^2-e^(t) #?
- What is the slope of #f(t) = (t+1,t^3)# at #t =1#?