Discussion 15

IS 605 FUNDAMENTALS OF COMPUTATIONAL MATHEMATICS

Calculus

Exercise 12.3 Problem 6

Evaluate \(f_x(x, y) and f_y(x, y)\) at the indicated point.

\(f(x, y) = x^3 -3x + y^2\) \(at (-1,3)\)

\(\frac{df}{dx}=3x^2 - 3\)

\(f_x(-1,3) = 3(-1)^2 - 3 = 0\)

\(\frac{df}{dy}=2y - 6\)

\(f_y(-1,3) = 2(3) - 6 = 0\)

Most valuable elements you took away from this course:

After a long time i came in touch with the real mathematics again especially calculus and learned new concepts such as LU decomposition and many new R concepts which i was not aware. Eigen values/ vectors will be frequently used by me in my various Machine learning projects. I now have a good hold on these concepts. This will really help me in my data science journey especially in machine learning and deep learning.