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u = ln (x+1) v = sin x
du/dx = 1/(x+1) dv/dx = cos x
Therefore, by the product rule,
dy/dx = [sin x / x+1] + [ln (x+1) cos x]

This is a classic A-level question which uses the formula:PV=nRT First, this equation (which needs to be learnt, it is not given in the exam papers) must be rearranged to:n=PV/RTWhat all these letters in ...

Xerophyte adaptations include: Curled leaves - create a micro-climate of more humid surrounding air, hence less water is lost to the dry surroundings. Small hairs on leaves - slow surrounding air flow, th...

During Augustus' reign as Princeps, he restored and built many temples. This was done to further promote his own ideology and to embed himself within the religious culture of the city of Rome. In Augustus...

1. To find the gradient of the curve we must differentiate the function. The function is in the form of a quotient, y=u/v, where u and v are functions of x. Therefore, we can use the quotient rule, dy/...