Find dw/dt for w = xy + z if x = cos t, y sin t, and
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Find dw/dt for w = xy + z if x = cos t, y sin t, and z = t. Find ∂w/∂r when r = 8 and s = – 8 if w = (x + y + z) 2 , x = r – s, y = cos (r+s), and z = sin (r + s).
Assuming that 2x 3 + 6y 2 – 3xy = 0 defines y as a differentiable function of x, use the theorem dy/dx = F F x /F y to find dy/dx at (1, 1).
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