What is the derivative of f(x)=4x^{3/5} ?

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

What is the first derivative of f(x)=4x^{3/5} ?

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

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derivative of

f (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}}}

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