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The derivative is a measure of the rate of change of f(x) as x varies. Alternatively it is the gradient of the tangent at a specific point of the graph. There are different rules for finding the derivativ...

Firstly, explain briefly what you understand from the question.

=> (x+5y)⁵ = (x+5y)(x+5y)(x+5y)(x+5y)(x+5y)

What would be the binomial expansion of form (x+y), brief explanatio...

A derivative is the result of an operation called differentiation. If we differentiate something, a function, the result tells us how much the function changes with respect to a chosen variable. For insta...

The important thing to note is that examiners always give the minimum amount of information for the question to still be answerable. If you have not used all the information then you probably haven't answ...

We will be using the quotient rule, although the product rule is also usable and can be run through if the student wishes. Firstly, define u = 8x, v = x-8 for simplicity. Then clearly u' = 8, v' = 1, and ...