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The product rule states that (uv)' = u'v + uv' Therefore we know that to find dy/dx we must have (sin(2x))'(4x+1)^3 +sin(2x)((4x+1)^3)' We can differentiate sin(2x) to 2cos(2x) and using the chain rule we...

The first and most important step is to highlight all the important information that is given in the question. Sometimes, it is very easy to miss out key numbers that you might require to get to the final...

First, you have to understand that both are essentially the same; the formula is based on the completing the square method. ax^2+b^x+c=0 can with appropriate steps be transformed to x = (-b +- root(b^2-4a...

If the participle is linked to the verb "être" or used as an adjective, its ending is associated with the gender of the subject (add an "e" for female), and the number of subjects (&qu...

Pendant mes vacances d’été, je suis allée passer un week-end au sud de l’Angleterre, à Cornouailles. J’étais accompagnée par mes parents et mon chien. C’était ma première fois dans cette région, et elle m...