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So let's start with taking the natural log on both sides of y=a^x, giving us ln(y) = ln(a^x). Using the laws of logarithms we can write this as ln(y) = xln(a).Next, we differentiate bo...

This is a common question asked during many medical school interviews. The common answers may include ' I want to help people' or 'I love learning about the human body' - which, despite sounding cliché, a...

In NH3, the nitrogen atom is bonded to three hydrogen atoms. By drawing the Lewis structure, the central nitrogen atom shows 3 covalent bonds to hydrogen and one lone pair. Valence Shell Electron Pair Rep...

Vying away from the simple 'be yourself' or 'be passionate about your subject' which are both terribly vague and difficult concepts to teach, the simplest and best secret I can give to anyone applying for...

1. Stationary points occur when dy/dx=0, therefore determine dy/dx first:
   dy/dx= 2x² + 4x - 6
   2) solve dy/dx=0 for two values of x (using quadratic formula, if necessary):
   (x+...