What is the derivative of-4x^{10} ?

The derivative of-4x^{10} is -40x^9

What is the first derivative of-4x^{10} ?

The first derivative of-4x^{10} is -40x^9

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\frac{d}{d x} (- 4 x^{10})

- 40 x^{9}

Solution steps

\frac{d}{d x} (- 4 x^{10})

Take the constant out:

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

= - 4 \frac{d}{d x} (x^{10})

Apply the Power Rule:

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

= - 4 \cdot 10 x^{10 - 1}

Simplify

= - 40 x^{9}

\frac{d y}{d t} = - 3 y + 12

\int (x - 4) sin (π x) d x

\int \frac{4 x}{( 1 + x ^{2} )} d x

3 x y^{^{'}} - 2 y = x^{3} y^{- 2}

\frac{\partial}{\partial y} (x (e^{y} + e^{- y}))

What is the derivative of-4x^{10} ?
The derivative of-4x^{10} is -40x^9
What is the first derivative of-4x^{10} ?
The first derivative of-4x^{10} is -40x^9