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A common C4 question where the student would need to use implicit differentiation to obtain an equation with the derrivative in it. 0 = -4sin4x + 2(dy/dx)sin2y. Then all that is required is rearranging th...

Factorise the equation to find the critical values:
x^2 - 3x - 18 > 0 (x-6)(x+3) > 0
Critical values:x - 6 = 0x = 6
x + 3 = 0x = -3
Draw a graph where a parabola (shape of a quad...

I will explain this choice of question and demonstrate my approach of showing the most forward way to solve this in the interview.

We'll apply the quotient rule using "u = ln(x² + 1)" and "v = x² + 1". First we'll need to calculate u' and v'.Using normal differentiation rules, we can see &quo...

y^-1 dy = xcos(x) dx∫y^-1dy = ∫xcos(x) dx ln(y) = ∫xcos(x) dx [using integration by parts to integrate the right hand side] therefore, ln(y) = xsin(x) - ∫sin(x) dxln(y) = xsin(x) + cos...