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The answer to this question is in two parts. We firstly must find the derivative of the function y=f(x) with respect to x, and then substitute the value of x given in the question to find the gradient at ...

Atherosclerosis occurs when the endothelium of a blood vessel becomes damaged. This may due to various reasons such as high blood pressure or toxins from cigarette smoke. This causes an inflammatory respo...

Sonata form is often found in music of the Classical era, for example in the string quartets or symphonic movements by composers such as Mozart, Haydn, and Beethoven. Sonata form is essentially a three-pa...

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...