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Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636

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BuyFindarrow_forward

Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636
Textbook Problem

Find dy/dx.

2. x = tet, y = t + sin t

To determine

To find:dydx for the parametric equations x=tet and y=t+sint.

Explanation

Given:

The parametric equation for the variable x is as follows.

x=tet

The parametric equation for the variable y is as follows.

y=t+sint

Calculation:

Differentiate the parametric equation x with respect to t.

dxdt=ddt(tet)=tet+et=et(t+1)

Differentiate the parametric equation y with respect to t.

dydt=ddt(t+sint)=1+cost

Write the chain rule for dydx

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