This explanation of Descartes’ Rule of Signs was submitted by Ayush, a HashLearn tutor from IIT, Dhanbad.
Consider a polynomial equation p(x)=0 (descending powers of x)
i) Number of positive roots of the equation p(x)=0 cannot exceed the number of changes of sign in p(x).…
This tip on calculus was contributed by one of our top tutors, Darshan Maheshwari.
The last edition of study tips, we posted an interesting trick to differentiate an infinite series. This time we’re following it up with helpful formulae to quickly find maxima or minima for functions involving two variables.…
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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.…
This tip on roots of an equation, and complex numbers was contributed by one of our top tutors, Sudheer Naidu.
This tip on sequences and series was contributed by one of our top tutors, Rushil Shah.
A telescoping series is any series where nearly every term cancels with a preceding or following term.…
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This tip to solve permutation and combinations problems was submitted by Ayush, a HashLearn tutor from IIT, Dhanbad.
In this tip, you will learn how to quickly solve one kind of seating arrangement problems.
Question
n people are sitting on a round table.…
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With this tip, you will learn:
This Coordinate Geometry tip was contributed by Kshitij of BITS Pilani, Goa Campus.
What you will learn from this tip:
— Formulae to calculate trigonometric ratios of half-angles
— The properties of every triangle
Here are some important formulae that you should note down to calculate the trigonometric ratios of half-angles.…
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