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Find the integral between 4 and 1 of x^(3/2)-1 with respect to x

When we integrate a function we must first raise the power of x in each term by one. The first term therefore becomes x^(5/2). The second term can be thought of as x^0 which we know that any number to the po...
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Answered by Alex B. • Maths tutor
4881 Views

How do you differentiate y=x^x?

To solve this problem, you need to put it into simplest form which is putting it into natural logarithm both the RHS and LHS. Then differentiate both side with respect to x as shown below. In(y) = ln(x^x) - ...
MT
Answered by Merhawi T. • Maths tutor
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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
12899 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
40260 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
7071 Views