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H(x)=(x^3)*(e^x) what is H'(x)

Using the product rule H(X) = f(x)*g(x) and H'(X) = f'(x)*g(x) + f(x)*g'(x) Where, in this case f(x) = x 3 and g(x) = e x We can easily determine the derivative of the above function.f'(x) = 3x 2 and g'(x) =...
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Answered by Antonio F. Maths tutor
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How does an increase in government expenditure affect Real GDP in the short-run?

Government Expenditure is an injection into the circular flow of income and can be represented in an Aggregate Demand/Aggregate Supply Diagram as an increase in aggregate demand. (Shows on diagram shift in a...
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Answered by Antonio F. Economics tutor
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How do I factorise a quadratic equation?

A quadratic equation will always take the form ax 2 + bx + c, where x is a variable and a, b and c are numbers. The equation may be given to you with several x 2 values, several x values or several numbers. ...
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Answered by Kate M. Maths tutor
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If y=(x^2)*(x-10), work out dy/dx

The question is pretty straightforward and asks you to find the derivative of y, which is a function of x. The most simple way to do this is to first eliminate the brackets and then derive. Thus we get y=x^3...
MC
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C1 June 2014 Q)4 - https://pmt.physicsandmathstutor.com/download/Maths/A-level/C1/Papers-Edexcel/June%202014%20QP%20-%20C1%20Edexcel.pdf

a) At A y=0, therefore if we solve: 0= (1/x)+1 we get x=-1.b)First step when drawing graphs is to find roots. x=0, x=2. Because x=0 acts as two of roots the graph only touches x=0. The graph is a positive cu...
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Answered by Arun S. Maths tutor
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