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Maths
A Level

Find INT{2,1}{x^4 + 3x^2 + 2}

This is a typical AS-level Maths question.

  1. We see it’s a definite integral so start by drawing some big square brackets with the “limits” (2 and 1).

  2. We go through the ex...

AF
Answered by Andrew F. Maths tutor
3544 Views

How could I sketch a graph of y=2x^3-3x^2?

To sketch a graph of an equation, there are several key features to consider. Firstly, we can consider where the graph crosses the x- and y-axes. When x=0, y=0, so the graph goes through the origin. If y=...

LH
Answered by Lawrence H. Maths tutor
11050 Views

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)...

BR
Answered by Benedict R. Maths tutor
3368 Views

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 ...

RA
Answered by Rania A. Maths tutor
2983 Views

Find the gradient of y=6x^3+2x^2 at (1,1)

In order to find the gradient of the curve at (1,1), we must first differentiate the equation of the curve. To do this, multiply the coefficient of x by the power of that same x. Then subtract one from th...

BB
Answered by Ben B. Maths tutor
4710 Views

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