What is the derivative of-0.251(x-3.58)^2+3.3 ?

The derivative of-0.251(x-3.58)^2+3.3 is -0.502x+1.79716

What is the first derivative of-0.251(x-3.58)^2+3.3 ?

The first derivative of-0.251(x-3.58)^2+3.3 is -0.502x+1.79716

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derivative of

- 0.251 (x - 3.58)^{2} + 3.3

- 0.502 x + 1.79716

Solution steps

\frac{d}{d x} (- 0.251 (x - 3.58)^{2} + 3.3)

Simplify

- 0.251 (x - 3.58)^{2} + 3.3 : - 0.251 x^{2} + 1.79716 x + 0.0830836

= \frac{d}{d x} (- 0.251 x^{2} + 1.79716 x + 0.0830836)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (0.251 x^{2}) + \frac{d}{d x} (1.79716 x) + \frac{d}{d x} (0.0830836)

\frac{d}{d x} (0.251 x^{2}) = 0.502 x

\frac{d}{d x} (1.79716 x) = 1.79716

\frac{d}{d x} (0.0830836) = 0

= - 0.502 x + 1.79716 + 0

Simplify

= - 0.502 x + 1.79716

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What is the derivative of-0.251(x-3.58)^2+3.3 ?
The derivative of-0.251(x-3.58)^2+3.3 is -0.502x+1.79716
What is the first derivative of-0.251(x-3.58)^2+3.3 ?
The first derivative of-0.251(x-3.58)^2+3.3 is -0.502x+1.79716