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How do I solve an algebraic expression when the unknown is on both sides of the equals sign?

the basic idea is to get everything with the unknown (let's assume this is x) on one side of the equals and everything else on the other side. To do this we use the 'inverse idea' to move our items onto diff...
CR
Answered by Coral R. • Maths tutor
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What is the chain rule?

A special rule, the chain rule, exists for differentiating a function of another function (finding dy/dx). Consider the expression cos x 2 . We call such an expression a ‘function of a function’. We could id...
DM
Answered by Diego M. • Maths tutor
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Express √75 in the form of n√3 , where n is an integer. Using this information, solve the following equation: x√48 = √75 + 3√3 (4 marks)

√75 = 5√3, therefore x√48 = √75 + 3√3 x√48 = 5√3 + 3√3 x(√16 x √3) = 5√3 + 3√3 4x√3 = 5√3 + 3√3 4x√3 = (5 + 3)√3 4x√3 = 8√3 x√3 = 2√3 x = 2
AT
Answered by Alex T. • Maths tutor
8642 Views

Differentiate and factorise y = x^2(3x + 1)

Product rule: dy/dx = uv' + u'v dy/dx = 2x(3x + 1) + x^2(3) dy/dx = 2x(3x + 1) +3x^2 dy/dx = 6x^2 + 2x + 3x^2 dy/dx = 9x^2 + 2x dy/dx = x(9x + 2)
EJ
Answered by Ella J. • Maths tutor
3863 Views

How do you prove two straight lines intersect?

There are two ways to prove they intercept (you can choose whichever one you prefer). Say we have two straight lines, for example: r 1 = 3 i + 4 j - 5 k + t ( i - 2 j + 2 k ) => r 1 = (3 + t) i + (4 – 2t)...
NM
Answered by Nicholas M. • Maths tutor
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