BTGE2013 L2 Stationary points

R is a _.

• maximum point

• minimum point

• saddle point

• restriction point

For single variable function, Maxima/minima occurs when f'(x) = 0

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If f_xxf_yy – f_xy² < 0, then the stationary point is a saddle point.

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• FALSE

In which situation should you use Lagrange multipliers?

• When finding all critical points of a function with no restrictions

• When solving a system of linear equations

• When maximizing or minimizing a function subject to a constraint

• When integrating a function with many variables

fx_i + λgx_i = 0

what is λ in this equation?

• Lagrange multiplier

• Lagrange interpolation

• Lamb chop

Leibniz's rule is also known as differentiation under the integral sign.

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• FALSE

Leibniz's rule states that we cannot swap the order of integration and differentiation.

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• FALSE