Find the second derivative of y with respect to x from the parametric equations given. x=t^{2}-1, y = t^{2}+t

avissidep

avissidep

Answered question

2021-04-26

Find the second derivative of y with respect to x from the parametric equations given.
x=t21,y=t2+t

Answer & Explanation

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-04-28Added 97 answers

Step 1:Given
x=t21,y=t2+t
Step 2:Solution
dxdt=2t,dydt=2t+1
dydx=dydtdxdt
=2t+12t
ddt(dxdt)=2t(2)(2t+1)(2)4t2
=24t2=12t2
d2ydx2=ddx(dydx)dxdt
=12t22t
=14t3
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-20Added 2605 answers

Answer is given below (on video)

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