How can evaluate partial derivatives, gradients, and directional derivatives at a point?

How can evaluate partial derivatives, gradients, and directional derivatives at a point?

Question
Derivatives
asked 2020-11-29
How can evaluate partial derivatives, gradients, and directional derivatives at a point?

Answers (1)

2020-11-30
Step 1
Partial derivative of a function is determined when a function having some variables is differentiated with respect to one of those variables assuming other remaining variables as constant and then substitute the given value of the variable in differentiated function
Step 2
Gradient of a function is determined as the value obtained when the coordinate of the point of interest is substituted in the partial differentiation of the function with respect to a variable.
Directional derivative of function at a point is determined as the ratio of the gradient vector of the point and the magnitude of the point.
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