What is the derivative of 9x^5 ?

The derivative of 9x^5 is 45x^4

What is the first derivative of 9x^5 ?

The first derivative of 9x^5 is 45x^4

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

45 x^{4}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 45 x^{4}

\int (ln (17 x))^{2} d x

x \to \infty lim (\frac{8}{10})

f (x) = \frac{x ^{2} + 5}{x - 2}

\frac{d y}{d x} = \frac{1}{x}

n \to \infty lim (n x)