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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 crosses the x axis at (2/3,0) and (-3,0)
DB
Answered by Demi B. • Maths tutor
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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
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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 3 + 3x 2 )ln(x) sees tw...
RH
Answered by Robbie H. • Maths tutor
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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 made by dividing two whole numbers (e.g. ...
JO
Answered by John O. • Maths tutor
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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 on a graph - which ar...
KW
Answered by Kieran W. • Maths tutor
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