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y=x^(3)-4x^(2)+5. Find (dy)/(dx) , (d^...

`y=x^(3)-4x^(2)+5`. Find ` (dy)/(dx) , (d^(2) y)/(dx^(2))` and ` (d^(3)y)/(dx^(3))` .

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To solve the problem, we need to find the first, second, and third derivatives of the function \( y = x^3 - 4x^2 + 5 \). ### Step 1: Find \( \frac{dy}{dx} \) To find the first derivative \( \frac{dy}{dx} \), we differentiate the function \( y \) with respect to \( x \): \[ y = x^3 - 4x^2 + 5 ...
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