How to differentiate using the Product Rule
The Product Rule is used when differentiating two functions that are being multiplied together. It can be used by multiplying each function by the derivative of the other and adding.
If y=uv then
dy/dx= udv/dx + vdu/dx
To illustrate this rule look at the example below:
y=x2e3x
u=x2 v=e3x du/dx= 2x dv/dx= 3e3x
Therefore dy/dx= (x2)(3e3x)+ (e3x)(2x)
dy/dx= 3x2e3x + 2xe3x
CM
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