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A key point to remember here is that a^x could mean the base (a) is not “e”-that special number which has a gradient function, dy/dx (the differential), EQUAL to the function itself, y=e^x. When "a&q...

By recalling that e^ln(a) = a, you can rewrite 3^2x as e^2xln(3).

Then, you can differentiate this like any other e function, by using the product rule.

To do this, there are two rules, the Sine Rule and The Cosine Rule. 

The sine rule is a/Sin A   = b/Sin B = c/Sin C.  (the lower and uppercase are very important. The rule also stands if ...

The easiest way to solve this problems it via trial and error. For any quatdratic (ax² + bx  + C = 0), the coeficcent of x, (i...

First, find the x coordinates of where the lines intersect by setting the equations of the lines equal to each other. Then solve the quadratic (or polynomial) equation. Next, integrate both lines indiv...