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Since this problem contains both xs and ys on the right hand side, we need to use implicit differentiation. This is where we use the chain rule to differentiate with regards to x the terms which contain y...

Opening Lines and Essay Structure for A-Level English Essay.
Hamlet is a play rooted in and riddled with deception. The characters within this play ceaselessly deceive and connive and as a r...

We find the eigenvalues (here called "k") by solving the characteristic equation det(M - kI) = 0. For a 2x2 matrix ((a, b), (c,d)) the determinant is ad - bc, we set this equal to zero ...

Electrons are mobile or move in halogen molecules. Therefore, there can be an uneven distribution of electrons or electron density in halogen molecules (1 mark). This creates a temporary or instantaneous ...

Notice that y can be expressed as y=f(x)g(x), in which f(x)=e^(2x) and g(x)=x^2-4x-2.Through the product rule, we know that dy/dx=f'(x)g(x)+f(x)g'(x).Through the chain rule, we can solve f(x) by rewriting...