What is the derivative of 690(1-(x/(345))^2) ?

The derivative of 690(1-(x/(345))^2) is -(4x)/(345)

What is the first derivative of 690(1-(x/(345))^2) ?

The first derivative of 690(1-(x/(345))^2) is -(4x)/(345)

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derivative of

690 (1 - (\frac{x}{345})^{2})

- \frac{4 x}{345}

Solution steps

\frac{d}{d x} (690 (1 - (\frac{x}{345})^{2}))

Simplify

690 (1 - (\frac{x}{345})^{2}) : 690 (1 - \frac{x ^{2}}{119025})

= \frac{d}{d x} (690 (1 - \frac{x ^{2}}{119025}))

Take the constant out:

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

= 690 \frac{d}{d x} (1 - \frac{x ^{2}}{119025})

Apply the Sum/Difference Rule:

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

= 690 (\frac{d}{d x} (1) - \frac{d}{d x} (\frac{x ^{2}}{119025}))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{x ^{2}}{119025}) = \frac{2 x}{119025}

= 690 (0 - \frac{2 x}{119025})

Simplify

690 (0 - \frac{2 x}{119025}) : - \frac{4 x}{345}

= - \frac{4 x}{345}

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What is the derivative of 690(1-(x/(345))^2) ?
The derivative of 690(1-(x/(345))^2) is -(4x)/(345)
What is the first derivative of 690(1-(x/(345))^2) ?
The first derivative of 690(1-(x/(345))^2) is -(4x)/(345)