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Derivative of $2x^2+5x-3$

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Factor quadratics

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Q. Derivative of

2x^2+5x-3

Identify function: Identify the function to differentiate: $2x^2 + 5x - 3$ .
Apply power rule: Apply the power rule to each term: $\newline$ Derivative of $2x^2$ is $4x$ (since $\frac{d}{dx}$ of $x^n = nx^{n-1}$ , here $n=2$ ). $\newline$ Derivative of $5x$ is $5$ (since $\frac{d}{dx}$ of $x = 1$ ). $\newline$ Derivative of $-3$ is $4x$ $0$ (since $\frac{d}{dx}$ of a constant is $4x$ $0$ ).
Combine derivatives: Combine the derivatives of each term: $4x + 5 + 0$ .

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