What is the derivative of 1000(1-x/(60)^2) ?

The derivative of 1000(1-x/(60)^2) is -100/3 (1-x/(60))

What is the first derivative of 1000(1-x/(60)^2) ?

The first derivative of 1000(1-x/(60)^2) is -100/3 (1-x/(60))

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\frac{d}{d x} (1000 (1 - \frac{x}{60})^{2})

- \frac{100}{3} (1 - \frac{x}{60})

Solution steps

\frac{d}{d x} (1000 (1 - \frac{x}{60})^{2})

Take the constant out:

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

= 1000 \frac{d}{d x} ((1 - \frac{x}{60})^{2})

Apply the chain rule:

2 (1 - \frac{x}{60}) \frac{d}{d x} (1 - \frac{x}{60})

= 2 (1 - \frac{x}{60}) \frac{d}{d x} (1 - \frac{x}{60})

\frac{d}{d x} (1 - \frac{x}{60}) = - \frac{1}{60}

= 1000 \cdot 2 (1 - \frac{x}{60}) (- \frac{1}{60})

Simplify

1000 \cdot 2 (1 - \frac{x}{60}) (- \frac{1}{60}) : - \frac{100}{3} (1 - \frac{x}{60})

= - \frac{100}{3} (1 - \frac{x}{60})

y^{^{'}} = 1 + \frac{y}{x}

y^{^{''}} - y = - x

\int e^{x^{- 1}} d x

y = x^{3} - 7 x^{2} + 16 x + 7, at

\frac{d}{d x} (\frac{6 x}{7 - tan ( x )})

What is the derivative of 1000(1-x/(60)^2) ?
The derivative of 1000(1-x/(60)^2) is -100/3 (1-x/(60))
What is the first derivative of 1000(1-x/(60)^2) ?
The first derivative of 1000(1-x/(60)^2) is -100/3 (1-x/(60))