Calculus for Computer Graphics by John Vince

Author:John Vince
Language: eng
Format: epub, pdf
Publisher: Springer London, London

which is also written as

and is a mixed partial derivative. For example, let

then

and

However, it should be no surprise that reversing the differentiation gives the same result. Let

then

and

Generally, for continuous functions, we can write

For example, the formula for the volume of a cylinder is given by V(r,h)=πr 2 h, where r and h are the cylinder’s radius and height, respectively. The mixed partial derivative is computed as follows.

or

As a second example, let

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