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

first differentiate the function f(X) = 3x 2 + 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 coefficient of the x variabl...
DB
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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 difference o...
NK
7619 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 to the left would get you y(x^2 - ...
YE
9039 Views

Work out 7/(2x^2) + 4/3x as a single fraction in its simplest form.

7/2x 2 + 4/3x = 21/6x 2 + 8x/6x 2 = ( 8x + 21 ) / ( 6x 2 )
CK
3820 Views

Differentiate y = x*cos(2x)

cos(2x) - 2x*sin(2x)
PM
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