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Determine dy/dt for y=11x^2+5x given x=10 and dx/dt=12

Determine dy/dt for y=11x^2+5x given x=10 and dx/dt=12
asked 188k views
1 vote
Determine dy/dt for y=11x^2+5x given x=10 and dx/dt=12

asked
User Sandeep Singh Rawat
by
7.6k points

1 Answer

4 votes

Differentiate both sides with respect to
t. By the chain rule,


y = 11x^2 + 5x \implies (dy)/(dt) = 22x (dx)/(dt) + 5 \frac{dx]{dt}

Given that
x=10 and
(dx)/(dt)=12, we find


(dy)/(dt) = 22*10*12 + 5*12 = \boxed{2700}

answered
User Jay Otterbein
by
8.4k points
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