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

The derivative of 5/2 x^{5/2} is (25x^{3/2})/4

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

The first derivative of 5/2 x^{5/2} is (25x^{3/2})/4

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derivative of

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

\frac{25 x ^{\frac{3}{2}}}{4}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

\frac{5}{2} \cdot \frac{5}{2} x^{\frac{5}{2} - 1} : \frac{25 x ^{\frac{3}{2}}}{4}

= \frac{25 x ^{\frac{3}{2}}}{4}

f (x) = 2 x^{4} - 10 x^{2}, at x = - 2

\frac{d}{d x} (ln (x - \frac{π}{2}))

x \to \infty lim (42 + x)

y^{^{'}} + y = x + 5

\int \frac{1}{64 + x ^{2}} d x

What is the derivative of 5/2 x^{5/2} ?
The derivative of 5/2 x^{5/2} is (25x^{3/2})/4
What is the first derivative of 5/2 x^{5/2} ?
The first derivative of 5/2 x^{5/2} is (25x^{3/2})/4