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

The derivative of-2/5 x^{3/4} is -3/(10x^{1/4)}

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

The first derivative of-2/5 x^{3/4} is -3/(10x^{1/4)}

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derivative of

- \frac{2}{5} x^{\frac{3}{4}}

- \frac{3}{10 x ^{\frac{1}{4}}}

Solution steps

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

Simplify

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

= \frac{d}{d x} (- \frac{2 x ^{\frac{3}{4}}}{5})

Take the constant out:

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

= - \frac{2}{5} \frac{d}{d x} (x^{\frac{3}{4}})

Apply the Power Rule:

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

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

Simplify

- \frac{2}{5} \cdot \frac{3}{4} x^{\frac{3}{4} - 1} : - \frac{3}{10 x ^{\frac{1}{4}}}

= - \frac{3}{10 x ^{\frac{1}{4}}}

\int_{1}^{6} \frac{5}{x ^{2}} d x

f (x) = x^{4} - 6 x^{2} + 9

\frac{d}{d t} (in cos (t))

\int x^{4} 5^{x} d x

f (x) = (x^{2} - 48)^{4}, at x = 7

What is the derivative of-2/5 x^{3/4} ?
The derivative of-2/5 x^{3/4} is -3/(10x^{1/4)}
What is the first derivative of-2/5 x^{3/4} ?
The first derivative of-2/5 x^{3/4} is -3/(10x^{1/4)}