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y=4x^(2)-16 x

$y=4x^{2}-16x$

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Find derivatives using the chain rule I

Full solution

Q.

y=4x^{2}-16x

Identify function: Identify the function to differentiate. $y = 4x^2 - 16x$
Differentiate terms: Differentiate each term separately using basic power rules. $\newline$ For $4x^2$ , the derivative is $8x$ (since $\frac{d}{dx}$ of $x^n = nx^{n-1}$ where $n=2$ ). $\newline$ For $-16x$ , the derivative is $-16$ (since $\frac{d}{dx}$ of $x = 1$ ).
Combine derivatives: Combine the derivatives of each term. $\frac{dy}{dx} = 8x - 16$

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