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(a) (i) differentiate C using standard technique: dy/dx = 12x^3 - 24x^2 (ii) to find the second differential differentiate the first derivative (dy/dx): d^2y/dx^2 = 36x^2 - 48x(b) In order to determine if...
Practice is the best way - that being said there are some tricks you can use.It's often easier to change the way you represent a number. For example, consider 99 x 8799 is very close to 100, which is a mu...
First, rationalise the denominator by multiplying the top and bottom of the fraction by the conjugate of the denominator.(2/(3-sqrt(2)))((3+sqrt(2))/(3+sqrt(2)))Next, expand the brackets - notice ther...
Separate the square: (x-5)2 = (x-5)(x-5)multiply the variables: x2multiply the numbers: -5 x -5 = 25multiply a variable and a number: -5xtimes this value by two: -10xsum all answers:...
An inverse function essentially gives us the opposite output for the same input of a function and cab be graphically represented as a reflection on the y=x axis.To find algebraically the inverse of a func...
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