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Engineering Mathematics

Lecture 20: Directional derivative of $f(x,y)$

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Lecture Details :

I present an example where I calculate the derivative of a function of two variables in a particular direction. In particular, I take the derivative of $f(x,y) := 1 - x^2/2 - y^4/4$ in the direction of the vector ${bf u} := (1,1)$.

I solve the problem and also talk about the geometric meaning of the directional derivative.

Such an example is seen in second year university mathematics.

Course Description :

Topics covered will include important aspects of applied mathematics used in engineering, such as: multivariable calculus; vector calculus; differential equations; Laplace transforms; Fourier series.

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