Hello everyone. This lesson we will tell the product rule for derivative.
Product Rule for Derivative
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| product rule of derivative |
Let f(x) and g(x) be two functions. Then the derivate of the product
$(f(x).g(x))’=f'(x)g(x)+f(x)g'(x)$
We must follow this rule religiously and not succumb to the temptation of writing $(f(x)g(x))’=f'(x)g'(x)$ ; a faulty statement.
Example:
$(x^3.e^x)’=(x^3)’.e^x+x^3(e^x)’$
=$3x^2e^x+x^3e^x$
