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dy/dx = 6x² + 4x + 9

dy = (6x² + 4x + 9) dx 

integrating gives:

y= (6x³/3) + (4x²/2) + 9x + c

y= 2x³ + 2x² + 9...

The general form of a quadratic equation is, ax² +bx + c = 0. If we divide all terms by a we get, x² +(b/a)x + c/a = 0. then by completing the square we get (x+(b/2a))² + ...

Just because a function is continuous at a point, that doesn't mean it has a derivative at that point. If a function is differentiable on an interval, then it is continuous on that interval, but the rever...

When rationalising, multiply the fraction by the denominator - so what that means is multiply the fraction by the square rooted number over the square rooted number. The numerators then multiply to give 6...

x²+4x-21= 0,  This can be factorised into brackets as shown: (x+2)² - 4 - 21 = 0 SImplified, so all x's are on one side of the equation: (x+2)² = 25, Removing square root,...