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To find the derivative of any number to the power "x", such as 2^x, 5^x, or even 4.13^x, we first consider the general form a^x. We need to be a little cr...

a)  For an inverse function- "inputs become outputs" so swap the positions of the input-variable (i.e "x") with the output variable (i.e f(x)) and then rearange. Once rearanged so that...

y = -16x² + 160x - 256 

x = 5

y = 144

Strictly speaking, the derivative is the rate of change of a function, process or pattern. 

So far, to calculate the gradient of a given function we always computed the change in the y coordi...

a) We have that a₁ = 2 and a₄ = 14, so the first thing that we can conclude is that the common difference, d, is positive, and that a₂ and a₃ are in between 2 a...