How To Find Gradient of a scalar Field 3 I Vector Calculus

In this video, we are going to learn how to find the gradient of a product. To solve this, we are going to use product rule. To find grad(AB) it's equal to AgradB + BgradA. We would also be finding the gradient of a scalar field/function at a point.
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The greatest rate of change for a scalar field with respect to position is represented by its gradient, which is always parallel to the field surface at that point. A scalar field’s gradient is a vector field whose magnitude represents the rate of change and which points in the general direction of the scalar field’s greatest rate of increase.
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#vector
#vectors
#vectorcalculus
#engineeringmathematics
#calculus
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#derivatives
#scalarfield
#maths

[@jeremiahsampson340]

Sad that im a student and cannot donate but i wish i could......when i get a job i wont forget you amen

[@AVITECHNOLOGIES]

Amen.
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[@agboyinusetin941]

thankyou so much sir learning with you was so fun and great

[@ALIEAKAMARA-gy2vo]

Thanks very much sir

[@AVITECHNOLOGIES]

You're welcome

[@MakawaRichard-t3k]

What if I first multiply A and B direct before finding grad(AB)

[@AVITECHNOLOGIES]

@@MakawaRichard-t3k you can try it, i don't think it's going to work. I'll take a look at it.

[@MakawaRichard-t3k]

Sometimes we are not given values of xyz

[@AVITECHNOLOGIES]

@@MakawaRichard-t3k Yes. Sometimes, we are not given the point (x, y, z)