How do you differentiate the following parametric equation: # x(t)=te^t-lnt, y(t)= t^3e^t-t^2+t#?

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Answer 1 · 2018-05-01T17:30:52

The answer #(dx)/dt=[t*e^t+e^t*1]-1/t#

#(dy)/dt=[t^3*e^t+3t^2*e^t]-2t+1#

the first one

#x(t)=te^t-lnt#

#(dx)/dt=[t*e^t+e^t*1]-1/t#

the second

#y(t)= t^3e^t-t^2+t#

#(dy)/dt=[t^3*e^t+3t^2*e^t]-2t+1#