Evaluate the partial derivative partparttheta theta
1. Evaluate the partial derivative ∂/∂θ θ sinΦ cos 2θ
2. Determine the gradient f(x,y,z) = x2 + 2y3 - 4z -1
3. Use Lagrange Multipliers to find the maximum and minimum of f(x,y) = 3x - 5y subject to x2 + y2 = 8
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