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Maths
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How do I sketch a graph of a polynomial function?

To sketch a polynomial function (a polynomial is a function involving powers of x, for example y = x3 + 2x2 - 13x + 10):

1. Start by differentiating the function to ...

RA
Answered by Rose A. • Maths tutor
9412 Views

Find dy/dx for y=5x^3-2x^2+7x-15

Step 1: To differentiate an equation there is a simple rule to follow. For y=axn dy/dx=anxn-1. so for an example y=x3, dy/dx=3x2. Therefore we just apply thi...

MT
Answered by Matthew T. • Maths tutor
13135 Views

Solve the equation ((2x+3)/(x-4))-((2x-8)/(2x+1))=1

Step 1: Multiply everything by x-4 to give 

(2x+3) - ((2x-8)(x-4)/2x+1)=(x-4)

Step2: Multiply everything by 2x+1 to give

(2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1)

MT
Answered by Matthew T. • Maths tutor
8883 Views

How do you integrate by parts?

When you are faced with an integral which is a product, such as x.cos(x), you may be able to integrate it by parts. The statement of the integration by parts is that:

∫u(dv/d...

TW
Answered by Tim W. • Maths tutor
7061 Views

How do you factorise a quadratic equation?

A quadratic expression is of the form ax​2+bx+c. It is often useful to know what values of x will make the expression equal to 0; these are known as the roots of the equation. An easy way of...

TW
Answered by Tim W. • Maths tutor
4981 Views

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