Derivative of Parametric Functions - Page 12

Questions
  • What is the derivative of #f(t) = ((lnt)^2-t, tcost ) #?
  • How do you differentiate the following parametric equation: # x(t)=te^t+5t, y(t)= t^2-3e^(t) #?
  • Given #y=3x^2 - 2#, why/how is #x= sqrt(3)*t# and #y = t^2 -2# the parametric equations?
  • How do you differentiate the following parametric equation: # x(t)=-t-2, y(t)= t^2/(-t+4#?
  • What is the derivative of #f(t) = (2-te^t, 2t^2+5t ) #?
  • The ellipse #((x^2)/(2^2) + (y^2)/(3^2))=1# can be drawn with what parametric equations?
  • How do you differentiate the following parametric equation: # x(t)=t, y(t)= 1-tcost #?
  • What is the slope of #f(t) = (t-2t+4,t^2)# at #t =0#?
  • How do you differentiate the following parametric equation: # x(t)=t^2+cos2t, y(t)=t-sint #?
  • What is the derivative of #f(t) = (t^2-sint , 1/(t^2-1) ) #?
  • What is the derivative of #f(t) = (1-e^t , sec(1-t) ) #?
  • What is the derivative of #f(x(t),y(t))=(a(t^2-1/t^2+1)^(1/2),at(t^2-1/t^2+1)^(1/2))#?
  • What is derivative of pie divided by 2?
  • Whats the partial derivative of #f(x,y) = 2x+3e^y#?
  • How to find dy/dx and d^2y/dx^2 in terms of parameter?
  • Find The Derivative Of cot x/2 in point x=π ?
  • Derivatives of Cot^2(A÷2) ?