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i) Let’s first write down, as we always should, what we know and what we are searching for. We know height is 25 meters and we are searching for time, so: ℎ = 25 �� �� =? This is a case of free fall of co...

here the student needs to use both implicit differentiation and the product rule.

I would differentiate term by term for this problem.

for 2ye^-3x you have to use the proudct rule. uv differ...

A quadratic equation is one that takes the form.. ax² + bx +c = 0

Factorising an equation like this involves putting the equation into two brackets.

The method varies slightly dep...

9/3x² - 3y² + x/xy - x² = 9/3(x²-y²) + x/x(y-x) = 3/(x-y)(x+y) + 1/y-x = 3/(x-y)(x+y) - 1/x-y = 3-1(x+y)/(x-y)(x+y) = 3-x-y/(x-y)(x+y)

We will split this up and differentiate each part separately.

We can differentiate 4x² using our normal rules for differentiating; we multiply the coefficient by the pow...