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S25_CTMS-25_Elements of Calculus
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Compute the derivative .
Let . Find the second order Taylor polynomial that approximates at .
Consider at the point . In which direction does have the maximum rate of change?
Let . Find the directional derivative at in the direction .
Let . Find the directional derivative at in the direction .
What is the gradient of at ?
What is the gradient of at ?
Suppose that over a region of space the electric potential is given by . What is the rate of change (i.e., the gradient) of the potential at ?
Let and and . Compute the partial derivatives and .
Let and and . Compute the partial derivatives and .