Derivative of x squared As we know, the derivative of x squared, i.e., differentiation of $ x^2$ , with respect to $ x$, is $ 2x$. i.e., $ \dfrac{d}{dx} x^2 = 2x$ A Curious Case Suppose we write $ x^2$ as the sum of $ x$ ‘s written up $ x$ times. i.e., $ x^2…

Consider a sequence of functions as follows:- $ f_1 (x) = \sqrt {1+\sqrt {x} } $ $ f_2 (x) = \sqrt{1+ \sqrt {1+2 \sqrt {x} } } $ $ f_3 (x) = \sqrt {1+ \sqrt {1+2 \sqrt {1+3 \sqrt {x} } } } $ ……and so on to $ f_n (x) = \sqrt {1+\sqrt{1+2 \sqrt…

This is one of the top mysteries of universe.

Well, in today’s era, where we all are just running to meet our deadlines and progressing at a massive rate, we forget that we are mere tenants on this planet Earth. It is so aching to see natural water bodies dying just because of human intervention and growing industrialization. At times the situation is so…

Stars The universe is vast and amazing. There are many millions of trillions of stars in the sky, most of them being bigger than our sun. Stars account for 98% of the matter in a galaxy. The rest of 2% consists of interstellar or galactic gas & dust in a very attenuated form. The normal…

The environment is contaminated in numerous ways. Plastic on the land, sewage in the water, carbon in the air. But not every substance is radioactive and not every pollution is radioactive pollution. There is a category of atoms that try to become a stable isotope from its unstable state. This process involves emission of radioactivity.…

Chemistry is a strange subject and to discover great things, Chemists had to suffer great as well. Here are 5 chemists killed or injured by their experiments. Karl Scheele He died while testing his discoveries. Scheele was a brilliant pharmaceutical chemist who discovered many chemical elements-Oxygen, Molybdenum, Tungsten, Manganese and Chlorine. He also discovered a…