Top answers

Maths
A Level

Find where the graph of y=3x^2+7x-6 crosses the x axis

At the point where the line crosses the x axis, y=0

3x^2+7x-6=0

(3x-2)(x+3)=0

3x-2=0 or x+3=0

giving x=2/3 and x=-3

so the line cro...

Answered by Demi B. • Maths tutor
4190 Views

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)

Answered by Ken D. • Maths tutor
23600 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

Answered by Robbie H. • Maths tutor
7028 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 ...

Answered by John O. • Maths tutor
5443 Views

How would you sketch the curve of a graph?

A frequent question the comes up in the early parts of core maths is; how would you sketch the graph of a function f(x)?

Sketching just means that you would have to find some key points o...

Answered by Kieran W. • Maths tutor
3776 Views

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