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Find the derivative of f(x)=x^2*e^x+x

You can split the derivative into 2 parts: dx/dy (x^2*e^x) + dx/dy (x) For the first part you have to use the product rule, so let U=x^2 V=e^x U'=2x V'=Chain rule V'=dx/dy(e^x) dx/dy(x)=e^x 1=e^x Returning t...
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Answered by Benedict R. • Maths tutor
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We have the curve f(x) = (x^2-5x)(x-1)+ 3x. Sketch the graph y=f(x), making sure to plot the co-ordinates where the curve meets the axes.

The first thing we want to do is re-write the curve f(x) in a format in which we can read and easily plot a graph. If we can include the '3x' in the factorised part of the equation, it will be neater and we'...
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Answered by Rania A. • Maths tutor
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What is a balance of payments deficit and why might this be damaging to the economy?

In Macroeconomics, a balance of payments or balance of trade deficit is where the total imports (M) received by an economy exceed that of exports (X). The balance of payments is a component of aggregate dema...
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Answered by Ayrton J. • Economics tutor
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How can you show your in depth knowledge of a novel if the exam question is focused on only one specific chapter or theme?

This is one of the main difficulties I found when studying for my A Level English Literature exam, so I really understand any confusion about how to go about answering these types of questions.Demonstrating ...
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Outline two assumptions of the behaviourist approach.

One assumption of the behaviourist approach is that we are born as a blank slate (known as tabula rasa) and we learn everything from the environment. This assumptions believes that all humans, male and femal...
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Answered by Chloe R. • Psychology tutor
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