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IUPAC name stem comes from the longest chain of carbon atoms, in this case five atoms giving pentan-, and the suffix comes from the most important functional group in the molecule, in this case the carbox...
We differentiate y with respect to x:Firstly, we apply the Chain rule in the fist part of the RHS. Remembering the chain rule is uv -> u'v+uv', so d(3xe^{3x^2})/dx=3e^{3x^2}+18x^{2}e^{3x^2}now, we sim...
Joseph Chamberlain embarked upon the Tariff Reform campaign in the aftermath of the Boer war to rectify two fundamental problems that were plaguing British society and industry. Chamberlain outlines his r...
Resolving perpendicular to the plane: R - mg cos30 = 0. Therefore, R = m g cos30, where R is the reaction force perpendicular to the plane. Res...
First, we must differentiate the function. To do this we must let the contents of the bracket be equal to 'u'. We now can produce two equations, one by subbing in 'u' into the function f(x) to give us u^5...
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