On a quiz, a true/false statement was given along the lines of:(adsbygoogle = window.adsbygoogle || []).push({});

"The gradient is a specific example of a directional derivative."

I marked "true" and got it wrong. I see why, I think, since the gradient is an actual "guide," a vector, towards the max rate of change, while the directional derivative is a scalar value given some direction.

However, would it be correct to say that themagnitudeof the gradient IS a specific example of a directional derivative?

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# Gradient vs. Directional Derivative

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