# Differentiating with respect to a negative variable.

Can we differentiate a function f(x) with respect to a negative variable? For example:Is this possible?

d/d(-x) [ax^2+bx+c] If this is wrong,why is that so?Please explain.

Note by Abhinandan Baireddy
5 years ago

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Yes you can do this.as derivative means rate of change of one variable with respect to another variable. Here it would mean how this polynomial changes with respect to -x.

You can even write this $$\frac{d(x^2)}{d(logx)}$$. So you must be thinking how to compute this derivative. put logx=t and replace x with exp(t). now you can easily find derivative in terms of t. Now again replace t with x.

- 5 years ago

Thank you very much brother..

- 5 years ago