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Further Mathematics

GCSE

Find dy/dx when y=2x^(4)+3x^(-1)

To differentiate this equation we use the power rule. This means that we times the power by the coefficient, this now becomes our new coefficient. Then you subtract 1 from the old power and this becomes y...

Answered by Rio C. • Further Mathematics tutor

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Find any stationary points in the function f(x) = 3x^2 + 2x

first differentiate the function f(X) = 3x² + 2x
1) The process of differentiation in this case involves bringing the current degree of power n on x down to be multiplied to the coefficien...

Answered by Dhanush B. • Further Mathematics tutor

4361 Views

Rationalise and simplify (root(3) - 7)/(root(3) + 1) . Give your answer in the form a + b*root(3) where a, b are integers.

There are two ways of solving this problem, one which is the routine method that always works in these cases, and one which requires an interesting little trick.The standard method is to use the differenc...

Answered by Nikolai K. • Further Mathematics tutor

5070 Views

Make y the subject of the formula x = SQRT((y+1)/(y-2))

Square both sidesMultiply by the RHS denominator (x^2(y-2)) = y+1Expand your brackets y(x^2) - 2x^2 = y + 1Begin re-arranging towards making y the subject so moving y terms ...

Answered by Youness E. • Further Mathematics tutor

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