Provide a detailed explanation of why the gradient points in the direction of the maximum increase of a function. You may restrict your essay to 3 .

Provide a detailed explanation of why the gradient points in the direction of the maximumincrease of a function. You may restrict your essay to3 Â .A. Write an essay (suggested length of 2-4 pages) in which you:1. Explain the directional derivative. Make sure that you include within your response anexplanation of the gradient.2. Explain how the dot product can be used to justify that the gradient points in thedirection of the maximum increase of a function. Make sure that your explanationemploys the proper use of vectors.