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Draw the graph of x^3 + x^2 - 6x

This is a cubic curve because the highest power to which x is being raised is 3. Cubic curves with addition x^2 and x terms often have a distinctive shape - sort of like a capital 'N' drawn using curves. So,...
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Answered by George H. • Maths tutor
4375 Views

Solve x^2 - 7x + 10 = 0

First factorise: (x - 2)(x - 5) = 0 Then either: x - 2 = 0 so x = 2 or x - 5 = 0 so x = 5
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Answered by Aran D. • Maths tutor
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Rearranging equations

Quesiton: Solve 10x - 7 = 5x + 3, to find the value of x Answer: x = 0.5 Solution: First you must rearrange the equation so that all the like terms are on the same side: 10x - 5x = 3 +7 5x = 10 Then to find ...
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Answered by Hamid S. • Maths tutor
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f(x) = (4x + 1)/(x - 2). Find f'(x)

Quotient rule: (vu' - uv')/v^2 u = 4x + 1 u' = 4 v = x - 2 v' = 1 Input into formula: [(x - 2)(4) - (4x + 1)(1)](x - 2)^2 Simplify: [4x - 8 -4x - 1]/(x - 2)^2 = -9/(x - 2)^2
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Answered by Salah S. • Maths tutor
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How do I differentiate something in the form f(x)/g(x)?

To differentiate the quotient of two functions f(x)/g(x) you can use the quotient rule, the formula of which is: (f'(x)*g(x)-f(x)*g'(x))/g 2 (x) it is important to remember which part you have to differentia...
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Answered by Riccardo P. • Maths tutor
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