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So we want to differentiate y =  4x²ln(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...

∫ e^xcos 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 su...

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 ...

First, imagine that f(x) is written as y: 

y = (3x -6)/2

swap the variables over so you write y as x and x as y:

x = (3y - 6)/2

Next, solve for x...

A curve has parametric equations:

x = 2 + t²                           y = 4t

Find the cartesian equation of this curve.

A cartesian equation of a c...