What is the derivative of 5x^{3/5}-4 ?

The derivative of 5x^{3/5}-4 is 3/(x^{2/5)}

What is the first derivative of 5x^{3/5}-4 ?

The first derivative of 5x^{3/5}-4 is 3/(x^{2/5)}

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\frac{d}{d x} (5 x^{\frac{3}{5}} - 4)

\frac{3}{x ^{\frac{2}{5}}}

Solution steps

\frac{d}{d x} (5 x^{\frac{3}{5}} - 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{\frac{3}{5}}) - \frac{d}{d x} (4)

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

\frac{d}{d x} (4) = 0

= \frac{3}{x ^{\frac{2}{5}}} - 0

Simplify

= \frac{3}{x ^{\frac{2}{5}}}

y = \frac{6 + x f ( x )}{x}

\int y^{2} 2 y^{3} + 1 d y

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

\frac{( x ^{2} )}{2}

x \to 0 lim (\frac{1}{2 x ^{3}})

What is the derivative of 5x^{3/5}-4 ?
The derivative of 5x^{3/5}-4 is 3/(x^{2/5)}
What is the first derivative of 5x^{3/5}-4 ?
The first derivative of 5x^{3/5}-4 is 3/(x^{2/5)}