# Study Tips: Differentiation of an Infinite Series

This tip on calculus was contributed by one of our top tutors, Shashwat.

What you will learn from this tip:

The trick to differentiate an infinite series.

Consider the following question:

A function y is defined as

Find at x = 0.

Solution:

The trick we use is that we multiply and divide the right hand side by (x-1). Thus,

Now we can use the division rule that we know for differentiation.

Therefore,

At x=0,

Thus, we get the answer as

Easy, right? Stay tuned for the next edition of Study Tips by HashLearn!

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