Find the directional derivative of at the point (-2, -3) in the direction . The gradient of f is :∇f=⟨?,? ⟩

∇f(−2,−3)=⟨?,? ⟩

The directional derivative is:?

Explanation:

Given: P(-2, -3)

The unit vector in the direction of is given by

The gradient of f(x, y) is defined as

so the gradient of f(x, y) at (-2,-3) is

Therefore, the directional derivative is

Note: the arguments of the cosines are in radian measure.

these civilizations were located around fertile rivers, where they could produce an abundance of crops

the answer is false.