What is the derivative of 9x^8 ?

The derivative of 9x^8 is 72x^7

What is the first derivative of 9x^8 ?

The first derivative of 9x^8 is 72x^7

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\frac{d}{d x} (9 x^{8})

72 x^{7}

Solution steps

\frac{d}{d x} (9 x^{8})

Take the constant out:

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

= 9 \frac{d}{d x} (x^{8})

Apply the Power Rule:

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

= 9 \cdot 8 x^{8 - 1}

Simplify

= 72 x^{7}

x^{2} - 9

\frac{\partial}{\partial x} (\frac{3 y ^{2}}{( 5 x + 3 y ) ^{2}})

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = - 2, y^{^{'}} (0) = 1

\int \frac{1}{x} - x^{2} + sin (x) - 3^{x} d x