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To compute the derivative of arcsin(x) we use the fact that it is the inverse of sine. Write y=arcsin(x). We want dy/dx. Taking sin on both sides yields sin(y)=x. Use implicit differentiation to different...

This question is very similar to differentiating x^x and the method for tackling it is quite common when powers are involved. We want to show that i^i=e^(-pi/2). Start by writing z=i^i (act like we do not...

sin^2(x) is not one of the functions whose antiderivative is commonly known to us. When we see trigonometric functions our best bet is usually to think of some trigonometric identity we know. In this case...

Students should demonstrate deep knowledge of the two or three works that they have chosen to compare. They should also respond to the question in a thoughtful manner, recognising the implications of the ...

Glucose is broken down to produce high intensity energy but in this process lactic acid is produced.