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

The derivative of 4x^{3/5} is (12)/(5x^{2/5)}

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

The first derivative of 4x^{3/5} is (12)/(5x^{2/5)}

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

\frac{12}{5 x ^{\frac{2}{5}}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 4 \cdot \frac{3}{5} x^{\frac{3}{5} - 1}

Simplify

4 \cdot \frac{3}{5} x^{\frac{3}{5} - 1} : \frac{12}{5 x ^{\frac{2}{5}}}

= \frac{12}{5 x ^{\frac{2}{5}}}

\int_{1}^{2} (- 12 x + 6) d x

y^{^{'}} = \frac{x ^{2} - y ^{2}}{x y}, y (2) = 3

\int sin (3 x) cos (4 x) d x

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

What is the derivative of 4x^{3/5} ?
The derivative of 4x^{3/5} is (12)/(5x^{2/5)}
What is the first derivative of 4x^{3/5} ?
The first derivative of 4x^{3/5} is (12)/(5x^{2/5)}