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When and how do I use the product rule for differentiation?

As the name suggests, the product rule is used to differentiate a function in which a product of 2 expressions in x exists. This means the two expressions in x are multiplied by each other, even when the fun...
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Answered by Rachel T. • Maths tutor
12998 Views

Work out the value of (√12 + √3) squared. Assume square roots are positive.

(√12 + √3) squared is just (√12 + √3) mulitipled by itself, so we can rewrite this as (√12 + √3)*(√12 + √3) Now we expandthe brackets. We can mulitply out the brackets using the FOIL method. (First Outside I...
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Answered by Lauren M. • Maths tutor
40537 Views

How do i differentiate the equation y = x^2 + 6x + 2 with respect to x.

So lets have a quick recap of differenciation to start off. In informal terms, differenciation is carried out by dropping the power to be in front of the term we are differenciating to as well as decrementin...
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Answered by Tarun S. • Maths tutor
7155 Views

How do i solve the quadratic x^2 + 5x + 6 = 0 ?

So we can always substitute the right terms into the quadratic formula. However, there might be a quicker way. Lets try and see if the quicker ways work.Firstly, we need to spot weather the difference of two...
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Answered by Tarun S. • Maths tutor
11660 Views

How can i solve the following simultaneous equations? 5x + y = 4 and 3x + 2y = 5?

The general approach to solving simultaneous equations is to replace the ‘y’s in one equation with ‘x’s, or the ‘x’s with ‘y’s. In this case, we can first take the equation 5x + y = 4 and rearrange it to get...
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Answered by Tarun S. • Maths tutor
12439 Views