What is the derivative of f(x)=-25x^2+150x-182 ?

The derivative of f(x)=-25x^2+150x-182 is -50x+150

What is the first derivative of f(x)=-25x^2+150x-182 ?

The first derivative of f(x)=-25x^2+150x-182 is -50x+150

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derivative of

f (x) = - 25 x^{2} + 150 x - 182

- 50 x + 150

Solution steps

\frac{d}{d x} (- 25 x^{2} + 150 x - 182)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (25 x^{2}) + \frac{d}{d x} (150 x) - \frac{d}{d x} (182)

\frac{d}{d x} (25 x^{2}) = 50 x

\frac{d}{d x} (150 x) = 150

\frac{d}{d x} (182) = 0

= - 50 x + 150 - 0

Simplify

= - 50 x + 150

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What is the derivative of f(x)=-25x^2+150x-182 ?
The derivative of f(x)=-25x^2+150x-182 is -50x+150
What is the first derivative of f(x)=-25x^2+150x-182 ?
The first derivative of f(x)=-25x^2+150x-182 is -50x+150