Differentiate the following function from first principles: `x^2e^x`

Explanation

We have to find the derivative of `x^{2} e^{x}` with the first principle method, so,



`f(x)=x^{2} e^{x}`



by using the first principle formula, we get



`f^{prime}(x) =lim _{h -> 0} frac{f(x+h)-f(x)}{h} `


`f^{prime}(x) =lim _{h -> 0} frac{(x+h)^{2} e^{(x+h)}-x^{2} e^{x}}{h} `


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