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We differentiate each term individually with respect to x. the way we differentiate powers of x is: x^n goes to nx^(n-1). So x^2 would become 2x, 2x would be just 2 as x^0 is 1 and a constant would just d...

This question involves ratios; men : women = 7:2; women : children = 1:3. We need to find a common number to combine the two ratios together. If we multiply the women:children ratio by 2, the ratio become...

In order for two lines to be parallel, they need to have the same gradient (m). The gradient (m) is the coefficient of x in the line equation y=mx+c. Therefore, the gradient of L1 is 3 since 3 is the coef...

Factorisation question: Simplify equation as each function is divisible by 2 then factorise to find roots, roots must = x value when added roots must = constant when multiplied

Differentiating is a process which you can apply to a function which lets you find the gradient (or slope) the function.