## Related questions with answers

Question

Find the directional derivative of f(x, y, z) = xy + yz + zx at P(1, -1, 3) in the direction of Q)2, 4, 5).

Solutions

VerifiedSolution A

Solution B

Answered 1 year ago

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1 of 3Answered 1 year ago

Step 1

1 of 3Recall that, the partial derivative of $f$ with respect to $x$ at $(a,b)$ is given by

$f_x=\lim_{h\to0}\frac{f(a+h,b)-f(a,b)}{h}.$

Similarly, recall that the partial derivative of $f$ with respect to $y$ at $(a,b)$ is given by

$f_y=\lim_{h\to0}\frac{f(a,b+h)-f(a,b)}{h}.$

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