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Differentiate x^x

xx=ex*ln(x)

So  d/dx (xx) = d/dx (ex*ln(x))

By chain rule, we get     d/dx (xln(x))exln(x) 

Then by product rule we get...

MS
Answered by Matthew S. Maths tutor
4278 Views

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

FH
Answered by Farhat H. Maths tutor
3418 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 solv...

CB
Answered by Calum B. Maths tutor
13565 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 pac...

KG
Answered by Kahina G. Maths tutor
14140 Views

How many solutions are there to the equation sin x = a, if 0<a<1 and 0<x<pi

Draw the sine graph on a whiteboard. Infer graphically by drawing the line y = a. As 0

VN
Answered by Vedanth N. Maths tutor
3847 Views

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