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dy/dx = 6x² - 3x + 4
To retrieve the original function y from dy/dx you have to integrate the derivative with respect to x.
y = ∫(dy/dx)dxy = ∫(6x² - 3x + 4)dx
To inte...

We must first complete the square for both equations and get the equations in the (x-a)²+(y-b)²=r² with the primary objective of determining the centres of both circles (a...

x² - 6x + 9The method for factorising quadratics is to find 2 numbers that add to make the 'x' term (-6x in this case), and multiply together to make the final term (+9 in this case). Factors o...

A number to the power of 1/2 is the same as square rooting (√) the number, therefore 64^1/2 is equal to √64.Remember that it can be the positive or the...

We have derivative rules. Some of them involve:If f(x)= (x)^a=> f'(x)= a*x^a-1If f(x)= ln x=> f'(x)= 1/xIf f(x)= sin x=> f'(x)=cos xTherefore, f(x)= 6y+1/x+cos x