How do you differentiate $a x^{2} + b x + c$ $ax^2+bx+c$ ?

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How do you differentiate $a x^{2} + b x + c$ $ax^2+bx+c$ ?

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Answer 1 · 2017-05-18T10:15:26

$2 a x + b$ $2ax+b$

Explanation:

$differentiate each term using the power rule$ $"differentiate each term using the "color(blue)"power rule"$

$∙ \frac{d}{d x} (a x^{n}) = n a x^{n - 1}$ $• d/dx(ax^n)=nax^(n-1)$

$\Rightarrow \frac{d}{d x} (a x^{2} + b x + c)$ $rArrd/dx(ax^2+bx+c)$

$= 2 a x + b$ $=2ax+b$

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How do you differentiate $a x^{2} + b x + c$ $ax^2+bx+c$ ?

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