What is the d/(ds)(2((590m))/(9.8) m/(s^2)) ?

The d/(ds)(2((590m))/(9.8) m/(s^2)) is -(240.81632…m^2)/(s^3)

What is the first d/(ds)(2((590m))/(9.8) m/(s^2)) ?

The first d/(ds)(2((590m))/(9.8) m/(s^2)) is -(240.81632…m^2)/(s^3)

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\frac{d}{d s} (2 \frac{( 590 m )}{9.8} \frac{m}{s ^{2}})

- \frac{240.81632 \dots m ^{2}}{s ^{3}}

Solution steps

\frac{d}{d s} (2 \cdot \frac{( 590 m )}{9.8} \cdot \frac{m}{s ^{2}})

Take the constant out:

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

= 2 \cdot \frac{590 m}{9.8} m \frac{d}{d s} (\frac{1}{s ^{2}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 2 \cdot \frac{590 m}{9.8} m \frac{d}{d s} (s^{- 2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 \cdot \frac{590 m}{9.8} m (- 2 s^{- 2 - 1})

Simplify

2 \cdot \frac{590 m}{9.8} m (- 2 s^{- 2 - 1}) : - \frac{240.81632 \dots m ^{2}}{s ^{3}}

= - \frac{240.81632 \dots m ^{2}}{s ^{3}}

What is the d/(ds)(2((590m))/(9.8) m/(s^2)) ?
The d/(ds)(2((590m))/(9.8) m/(s^2)) is -(240.81632…m^2)/(s^3)
What is the first d/(ds)(2((590m))/(9.8) m/(s^2)) ?
The first d/(ds)(2((590m))/(9.8) m/(s^2)) is -(240.81632…m^2)/(s^3)