What is the derivative of 20(1-(x^2/(6400))) ?

The derivative of 20(1-(x^2/(6400))) is -x/(160)

What is the first derivative of 20(1-(x^2/(6400))) ?

The first derivative of 20(1-(x^2/(6400))) is -x/(160)

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\frac{d}{d x} (20 (1 - \frac{x ^{2}}{6400}))

- \frac{x}{160}

Solution steps

\frac{d}{d x} (20 (1 - \frac{x ^{2}}{6400}))

Take the constant out:

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

= 20 \frac{d}{d x} (1 - \frac{x ^{2}}{6400})

Apply the Sum/Difference Rule:

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

= 20 (\frac{d}{d x} (1) - \frac{d}{d x} (\frac{x ^{2}}{6400}))

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

\frac{d}{d x} (\frac{x ^{2}}{6400}) = \frac{x}{3200}

= 20 (0 - \frac{x}{3200})

Simplify

20 (0 - \frac{x}{3200}) : - \frac{x}{160}

= - \frac{x}{160}

\int 2 x - 1 d x

\frac{d}{d x} (cos^{2} (x) + cos (x))

\int \frac{( x ^{\frac{1}{3}} - 4 ) ^{5}}{6 x ^{\frac{2}{3}}} d x

y^{^{''}} - 3 y^{^{'}} + 2 y = 1 + e^{x}

\frac{d}{d x} (e^{2 x} \cdot 2 - e^{x})

What is the derivative of 20(1-(x^2/(6400))) ?
The derivative of 20(1-(x^2/(6400))) is -x/(160)
What is the first derivative of 20(1-(x^2/(6400))) ?
The first derivative of 20(1-(x^2/(6400))) is -x/(160)