Suppose x, y, and z are positive functions of t. If z^2 = x^2 + y^2, dx/dt = 3, and dy/dt = 3, find dz/dt when x = 8 and y = 15
Added by Allison B.
Step 1
We know that z^2 = x^2 + y^2, so we can take the derivative of both sides with respect to t using the chain rule: 2z(dz/dt) = 2x(dx/dt) + 2y(dy/dt) Show more…
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