How do you differentiate the following parametric equation: # x(t)=t^2-t, y(t)=e^t+cost #?
1 Answer
Mar 15, 2017
Explanation:
For
#color(blue)"parametric equations"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(dy/dx=(y'(t))/(x'(t)))color(white)(2/2)|)))#
#x(t)=t^2-trArrx'(t)=2t-1#
#y(t)=e^t+costrArry'(t)=e^t-sint#
#rArrdy/dx=(e^t-sint)/(2t-1)#
