Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector. f(x, y)= ln(2 +3x^2 +3y^2); P(1,-2); (3,1)

The directional derivate is given by:

Step-by-step explanation:

The directional derivative at point (x,y) is given by:

In which a is the x component of the unit vector and b is the y component of the unit vector.

Vector:

We are given the following vector:

Its modulus is given by:

The unit vector is given by each component divided by it's modulus. So

This means that

Partial derivatives:

So

Directional derivative:

The directional derivate is given by:

4 adults and 12 babies

step-by-step explanation:

4 x 7 = 28

12 x 15 = 180

180 + 28 =208

4 x 3 = 12

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.