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So we want to differentiate y = 4x 2 ln(x) with respect to y. For this we need to use the product rule. The product rule is D {f(x)g(x)} = f(x)g'(x) + g'(x)f(x) We can therefore make f(x) = 4x 2 and g(x) = l...

Skirts are common in both ratios. Multiply both ratios by the factors such that skirts are represented by the same number Dresses: skirts = 7: 4 Skirts: blouses = 7: 2 Multiply the first by 7 and the second ...

∫ e x cos x dx First of all, we have to think of which method we want to use to approach this problem. There are a few options we can consider such as integration by parts and substitution. In this case, int...

When asked to rationalise simple Surd (square roots that cannot be reduced to a whole number) fractions in the form a/√b we are aiming to remove the surd in the denominator (bottom).-------------------------...

So, Pythgoras Theorem mostly deals with right-angled triangles, ie a triangle with one 90 degree angle. The slanted side is called the hypotenuse and let us denote it as c the bottom is called the adjacent, ...