What is the derivative of (x^9/(45)) ?

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

What is the first derivative of (x^9/(45)) ?

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

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\frac{d}{d x} (\frac{x ^{9}}{45})

\frac{x ^{8}}{5}

Solution steps

\frac{d}{d x} (\frac{x ^{9}}{45})

Take the constant out:

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

= \frac{1}{45} \frac{d}{d x} (x^{9})

Apply the Power Rule:

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

= \frac{1}{45} \cdot 9 x^{9 - 1}

Simplify

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

= \frac{x ^{8}}{5}

y = 6 x, y = 6 x^{2}

\frac{( - 6 x )}{8 - 2 x}

y^{^{''}} + y = x, y (1) = 0, y^{^{'}} (1) = 1

\int 3 x^{2} d x

\frac{\partial}{\partial y} (x cos (z))

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