What is the derivative of-5/2 x^9 ?

The derivative of-5/2 x^9 is -(45x^8)/2

What is the first derivative of-5/2 x^9 ?

The first derivative of-5/2 x^9 is -(45x^8)/2

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\frac{d}{d x} (- \frac{5}{2} x^{9})

- \frac{45 x ^{8}}{2}

Solution steps

\frac{d}{d x} (- \frac{5}{2} x^{9})

Simplify

- \frac{5}{2} x^{9} : - \frac{5 x ^{9}}{2}

= \frac{d}{d x} (- \frac{5 x ^{9}}{2})

Take the constant out:

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

= - \frac{5}{2} \frac{d}{d x} (x^{9})

Apply the Power Rule:

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

= - \frac{5}{2} \cdot 9 x^{9 - 1}

Simplify

- \frac{5}{2} \cdot 9 x^{9 - 1} : - \frac{45 x ^{8}}{2}

= - \frac{45 x ^{8}}{2}

\int_{0}^{x} ln (x) d x

\frac{d ^{2}}{d x ^{2}} (x^{3} + 3 x^{2} - 2 x + 8)

\frac{d y}{d x} = \frac{x}{y}, y (1) = 2

\frac{24}{x ^{5}}

\frac{d}{d x} (10 x + \frac{5}{x + 1})

What is the derivative of-5/2 x^9 ?
The derivative of-5/2 x^9 is -(45x^8)/2
What is the first derivative of-5/2 x^9 ?
The first derivative of-5/2 x^9 is -(45x^8)/2