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Sketch the curve y=x^2-x-6

This curve is a quadratic due to the highest power in the equation being two. Quadratics typically have the shape of a U. Due to the coefficient of the x^2 term being positive, the curve is increasing for la...
MA
Answered by Masum A. • Maths tutor
7736 Views

Evaluate the integral between 5 and 3 for xe^x

Firstly, by looking at the integral, we see that this will have to be done by parts. There are 2 parts of this expression, the ' x ' and the ' e^x' . As we know the formula for integration by parts is: integ...
IO
Answered by Ishaan O. • Maths tutor
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((x^2+4x)/2x)-((x^2-4x)/x)

6-(x/2)
IL
Answered by Ieuan L. • Maths tutor
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I don't understand differentiation. How does it work?

The first thing to know is that it is absolutely fine to be struggling with differentiation. It is one of the harder topics of A Level maths that you won't have seen before. I know it certainly took me a whi...
TD
Answered by Tutor296844 D. • Maths tutor
7935 Views

y(x) = x^2(1-x)e^-2x , find y'(x) in the form of g(x)e^-2x where g(x) is a cubic function to be found

For this question, I would first expand the brackets in the given y(x) to form , x^2e^-2x -x^3e^-2x . With this form, I would then differeniate using the chain rule to then obtain the expression that can eas...
AB
Answered by Arjun B. • Maths tutor
4051 Views