What is the derivative of 200x-0.2x^{5/2} ?

The derivative of 200x-0.2x^{5/2} is 200-0.5x^{3/2}

What is the first derivative of 200x-0.2x^{5/2} ?

The first derivative of 200x-0.2x^{5/2} is 200-0.5x^{3/2}

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\frac{d}{d x} (200 x - 0.2 x^{\frac{5}{2}})

200 - 0.5 x^{\frac{3}{2}}

Solution steps

\frac{d}{d x} (200 x - 0.2 x^{\frac{5}{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (200 x) - \frac{d}{d x} (0.2 x^{\frac{5}{2}})

\frac{d}{d x} (200 x) = 200

\frac{d}{d x} (0.2 x^{\frac{5}{2}}) = 0.5 x^{\frac{3}{2}}

= 200 - 0.5 x^{\frac{3}{2}}

n = 1 \sum \infty n^{5} (1 + n^{6})^{3}

x \to 0 + lim (3 x^{7 x})

x \to 0 - lim (sin (\frac{2}{5 x}))

\frac{\partial}{\partial t} (r cos (t) sin (x))

\int_{0}^{2} 3 - x^{3} d x

What is the derivative of 200x-0.2x^{5/2} ?
The derivative of 200x-0.2x^{5/2} is 200-0.5x^{3/2}
What is the first derivative of 200x-0.2x^{5/2} ?
The first derivative of 200x-0.2x^{5/2} is 200-0.5x^{3/2}