Calculus 3 Quiz
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MULTIVARIABLE FUNCTIONS & PARTIAL DERIVATIVES
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The function z=f(x,y)z = f(x,y) has partial derivatives fx(2,3)=4f_x(2,3) = 4 and fy(2,3)=−1f_y(2,3) = -1. A curve CC passes through the point (2,3)(2,3) and has tangent vector t⃗=3i⃗−4j⃗\vec{t} = 3\vec{i} - 4\vec{j} at that point. What is the directional derivative of ff along the curve CC at the point (2,3)(2,3)?
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