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Differentiate x^2 + y^2 with respect to x

use the chain rule on the y^2 term to get 2y*(dy/dx)

hence the overall solution is 2x + 2y*(dy/dx)

KD
Answered by Ken D. Maths tutor
25992 Views

Find the mid point of the line A B, where A is (8,-1) and B is (2,5).

To find the midpoint between two points, first we must find the mid point between the x coordiates and then the y coordinates.

The x coordiate of A is 8 and the x coordia...

AK
Answered by Amy K. Maths tutor
7698 Views

Solve the equation d/dx((x^3 + 3x^2)ln(x)) = 2x^2 + 5x, leaving your answer as an exact value of x. [6 marks]

This may look complicated at first but it can be broken down into a number of simple steps...

For the left side of the equation, the d/dx tells you we are differentiating and since (x

RH
Answered by Robbie H. Maths tutor
8071 Views

The average temperature in May is 18 ºC. The average temperature in November is a third of the average temperature in May. The average temperature in September is twice the average temperature in November. What is the average temperature in September?

This question has multiple stages to go through, so firstly we see what they are looking for you to have found by the end of the question, which is the average temperature in September. Looking at the ...

HM
Answered by Hannah M. Maths tutor
4881 Views

How do you rationalise the denominator?

Defintions

Rationalising the denominator means rewriting a fraction so that the bottom only contains rational numbers.

Remember: A rational number is one that can be ...

JO
Answered by John O. Maths tutor
6664 Views

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