# Derivative of Parametric Functions - Page 4

Questions

- How do you differentiate the following parametric equation: # (t-5t^3,3t^4-t^3)#?
- How do you differentiate the following parametric equation: # x(t)=-te^t+t, y(t)= -2t^2-2te^(t) #?
- Given that a curve C is represented parametrically by x=t²/2 + 3t y=t²-2t how do you find the value of dy/dx and show that d²2y/dx²=8/(t+3)^3 and Show that C has only one stationary point and that this is a minimum?
- What is the derivative of #f(t) = (2t-3te^t, 2t^2-t ) #?
- What is the significance of partial derivative? Give an example and help me to understand in brief.
- How do you differentiate the following parametric equation: # x(t)=-te^t+t, y(t)= 3t^2+2t #?
- What is the derivative of #f(t) = (t^2-sint , t-e^t ) #?
- What is the derivative of #f(t) = (t-lnt^2, t^2-sint ) #?
- What is the derivative of #f(t) = ((lnt)^2-t, tsect ) #?
- How do you differentiate the following parametric equation: # x(t)=-e^t-4t, y(t)= -5t^2+2 #?
- How do you differentiate the following parametric equation: # x(t)=t^2+tcos2t, y(t)=tsint #?
- What is the derivative of #f(t) = (t^2-2e^(t-1) , t-e^t ) #?
- What is the derivative of #f(t) = (t^2-sint , 1/(t-1) ) #?
- How do you differentiate the following parametric equation: # x(t)=te^t-2t, y(t)=-3t^3-2t^2+3t #?
- What is the derivative of #f(t) = (t^2+1 , e^(2t^2-2) ) #?
- What is the derivative of #f(t) = (t-lnt, t^2sint ) #?
- How do you differentiate the following parametric equation: # x(t)=-3e^t-4t, y(t)= -5t^2-e^(t) #?
- What is the derivative of #f(t) = (t/sint , t^2-t^3cost ) #?
- What is the derivative of #f(t) = (e^(t^2-1)-e^t, 2t^2-4t ) #?
- How do you differentiate the following parametric equation: # x(t)=(t+1)^2+e^t, y(t)= (t-2)^2+t#?