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Scaling the derivative of a data vector?

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Superfish
Superfish il 17 Mar 2012
I have a vector of data, and I would like to scale the derivative of this data by some amount, and see the how it changes the original data.
How can I do this? Thanks.

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Jan
Jan il 17 Mar 2012
You could calculate the gradient, multiply if by the factor and integrate.
But the result can be found without calculating the gradient explicitely also. Hint: Write down the (forward or backward or centered) difference quotient.
Is this a homework?
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Superfish
Superfish il 17 Mar 2012
Not homework. Just a guy whose brain is failing at maths trying to do some simple data analysis :)
Thanks, upon researching numerical integration more just now I found the function cumtrapz, I was using trapz and getting confused.
Jan
Jan il 18 Mar 2012
Another hint: x = rand(1, 6);
disp(gradient(x)); disp(gradient(x)*2); disp(gradient(x*2));
See: http://en.wikipedia.org/wiki/Linear_Operator

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