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Step 1: To differentiate an equation there is a simple rule to follow. For y=axn dy/dx=anxn-1. so for an example y=x3, dy/dx=3x2. Therefore we just apply thi...
When you are faced with an integral which is a product, such as x.cos(x), you may be able to integrate it by parts. The statement of the integration by parts is that:
∫u(dv/d...
Parametric equations are a set of equations which both depend on the same variable, such as t. An example of this would be:
x = 2t2+1 and y = t4-2
A...
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 eln(a) = a, you can rewrite 32x as e2xln(3).
Then, you can differentiate this like any other e function, by using the product rule.
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