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Here we must use the product rule to differeniate because x appears in both terms of the equation, therefore both parts must be differentiated. So we will set u= x² and v= (5x-1)^(1/2) written ...

The best way to answer these kind of questions is by moving all the unknowns to one side. In this case, the only unknown is x, so we should start by moving all the x's to one side. Since there are 4x's on...

Paley imagines someone finding both a watch and a stone. Unlike the stone, it would be obvious that the watch did not get there by chance as it shows such evident signs of design. He believes the watch mu...

Lighting is an integral part of the construction of Blanche's character in Williams' play. Blanche is constantly fleeing into her own fantasy; light represents the harsh realities following her while the ...

To find the derivative of two functions multiplied by each other we would use the product rule.

The product rule: (fg)'(x) = f '(x).g(x) + f(x).g'(x)

First we need to split our function into...