What is the derivative of-7x^9 ?

The derivative of-7x^9 is -63x^8

What is the first derivative of-7x^9 ?

The first derivative of-7x^9 is -63x^8

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\frac{d}{d x} (- 7 x^{9})

- 63 x^{8}

Solution steps

\frac{d}{d x} (- 7 x^{9})

Take the constant out:

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

= - 7 \frac{d}{d x} (x^{9})

Apply the Power Rule:

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

= - 7 \cdot 9 x^{9 - 1}

Simplify

= - 63 x^{8}

\frac{1}{7 s ^{2} + 37.4 s + 19990}

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

\frac{( 1 + e ^{- 2 s} ) ^{2}}{s + 2}

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

\int_{- 1}^{1} x + 1 d x