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Scaling the derivative of a data vector?

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Superfish
Superfish 2012-3-17
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 2012-3-17
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 2012-3-17
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 2012-3-18
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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