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Find out what they know what the questions means, ie if they know what sinx and cosx are and then how much they understand about what derivatives are.I would explain from the point they're at, define ever...

(a) To find the second derivative of f(x) we must differentiate f twice.the first derivative of f is f'(x)= 3x^2 + 6xthe second derivative therefore is f''(x)= 6x +6
(b) The integral of f(x) with res...

When solving an inequality, you want to get all of the x terms on one side, just like when you're solving an equation. Therefore, adding 10x to each side would give us:4x (+10x) > 7 - 10x (+10x) which ...

2^2x - 6(2^x ) + 5 = 0let y = 2^xy² - 6y + 5 = 0(y-5)(y-1) = 0 y=5, y=12^x = 5, therefore, x = log₂5 = 2.32 (3 s.f.)2^x = 1, therefo...

Firstly, establish that the correct method to do this is via differentiation: specifically implicit differentiation. To find the gradient, we need to find dy/dx. The differential with res...