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Show that the function f given by f(x)=x...

Show that the function f given by `f(x)=x^3-3x^2+4x ,x in R`is strictly increasing on R.

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To show that the function \( f(x) = x^3 - 3x^2 + 4x \) is strictly increasing on \( \mathbb{R} \), we will follow these steps: ### Step 1: Find the First Derivative To determine if the function is strictly increasing, we first need to find its first derivative \( f'(x) \). \[ f'(x) = \frac{d}{dx}(x^3 - 3x^2 + 4x) \] ...
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