What is the derivative of 50(80-x^2) ?

The derivative of 50(80-x^2) is -100(80-x)

What is the first derivative of 50(80-x^2) ?

The first derivative of 50(80-x^2) is -100(80-x)

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\frac{d}{d x} (50 (80 - x)^{2})

- 100 (80 - x)

Solution steps

\frac{d}{d x} (50 (80 - x)^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 50 \frac{d}{d x} ((80 - x)^{2})

Apply the chain rule:

2 (80 - x) \frac{d}{d x} (80 - x)

= 2 (80 - x) \frac{d}{d x} (80 - x)

\frac{d}{d x} (80 - x) = - 1

= 50 \cdot 2 (80 - x) (- 1)

Simplify

= - 100 (80 - x)

x \to 0 lim (\frac{1}{2} + \frac{x}{2 ∣ x ∣})

x \to 0 lim (\frac{x ^{2} + 4 x}{x})

f (x) = x e^{x} + e^{x}

\frac{- 3 s - 20}{s ^{2} + 256}

\int \frac{2 u}{u ^{2} + 1} d u

What is the derivative of 50(80-x^2) ?
The derivative of 50(80-x^2) is -100(80-x)
What is the first derivative of 50(80-x^2) ?
The first derivative of 50(80-x^2) is -100(80-x)