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

The derivative of 2x^{5/2} is 5x^{3/2}

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

The first derivative of 2x^{5/2} is 5x^{3/2}

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{\partial}{\partial y} (cos^{2} (3 x - y^{2}))

\frac{\partial}{\partial y} (4 x^{0.5} + 2 y^{0.25})

\frac{\partial}{\partial y} (ln (x yz))

\int 7^{x^{2}} d x

x \to \infty lim (\frac{1}{x} + 1)

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