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How do you differentiate 5x

y=5x The change in Y over the change in X gives the differential of 5x As the power of 'x' is 1, this is brought down and multiplied by 5 and the power of x is 1-1 = 0. Therefore, the power of x is 0, which ...
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Answered by Malik M. • Maths tutor
30487 Views

Differentiate x^x

x x =e x*ln(x) So d/dx (x x ) = d/dx (e x*ln(x) ) By chain rule, we get d/dx (xln(x)) e x ln(x) Then by product rule we get [ln(x)+1] e x ln(x)
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Answered by Matthew S. • Maths tutor
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Claire drove from Manchester to London, it took her 4 hours at an average speed of 85 km/h. Matt drove from Manchester to London, it took him 5 hours. Assuming he took the same route as Claire and took no breaks, work out his average speed in km/h.

Distance = 4 x 85 = 340km Average speed = 340 / 5 = 68 km/h
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Answered by Farhat H. • Maths tutor
3790 Views

Make b the subject of the formula a = 3 - 2b

So this question wants you to rearrange the formula so that b is on its own on one side of the equals sign. As its a formula and not asking for the value of the equation you don't have to worry about solving...
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Answered by Calum B. • Maths tutor
14893 Views

A shop sells bags of crisps in different size packs. There are 18 bags of crisps in a small pack (£4), 20 bags of crisps in a medium pack (£4.99) and 26 bags of crisps in a large pack (£6). Which size pack is the best value for money?

You can use the price of each pack and divide it by the number of bags of crips to get the price per packet, the one with the lowest price per packet will be the best value for money. The small packet cost £...
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Answered by Kahina G. • Maths tutor
14956 Views