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First of all it is important to know that differentiation is the opposite of integration. So if we integrate some function g(x) and get f(x), it means that when we differentiate f(x) we should get g(x). W...

5x - 1 = 3x + 75x = 3x + 82x = 8x = 4

First I would draw a Diagram of y=x² on the x and y plane, for x>0. Then label a generic point as (x,y), then noting that as y=x² we can then equate the sane point to (x, x^2...

A stationary point is defined as a point on the function where the gradient is zero, i.e f'(x) = 0. To construct this equation we must differentiate the function, we would find f'...