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How to do the product rule for differentiation

To do the product rule you must have two functions multiplied together. Here you must make one function be u and the other be v. The formula from this is uv’+vu’ where v’ and u’ are the differentials of t...

DR
Answered by Daisy R. Maths tutor
2919 Views

Differentiate xcos(x) with respect to x.

How do we know which method of differentiation to use in this example?
Well in ‘xos(x)’, we have 2 different functions: ‘x’ and ‘cos(x)’. Therefore, we must differentiate using the p...

OS
Answered by Oliver S. Maths tutor
5071 Views

The length of a rectangle is five times the width. The area of the rectangle is 1620 cm(squared) Work out the width of the rectangle.

If the length is 5 times the width we can say that length=5a if width=a. We know the equation for: the area of a rectangle= length x width.In this case: area= 5a x a= 5a2 and from the question ...

SJ
Answered by Sophie J. Maths tutor
10270 Views

Solve the simultaneous equation: 3x-12y=6 , 18y=9x+10y

To solve this question, we must first understand what a simultaneous equation is = an equation where the variables have the same values. So in this example, x and y are the same in both ...

PP
Answered by Paulina P. Maths tutor
3436 Views

At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the game.

The ratio of men to women at the game is 13:5. The difference between the number of men and women is 4152. Subtract 5 from 13 to work out the difference between the ratio value of men and women. 13-5=8. D...

JB
Answered by James B. Maths tutor
8577 Views

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