What is the derivative of (x^9-2)^3 ?

The derivative of (x^9-2)^3 is 27x^8(x^9-2)^2

What is the first derivative of (x^9-2)^3 ?

The first derivative of (x^9-2)^3 is 27x^8(x^9-2)^2

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derivative of

(x^{9} - 2)^{3}

27 x^{8} (x^{9} - 2)^{2}

Solution steps

\frac{d}{d x} ((x^{9} - 2)^{3})

Apply the chain rule:

3 (x^{9} - 2)^{2} \frac{d}{d x} (x^{9} - 2)

= 3 (x^{9} - 2)^{2} \frac{d}{d x} (x^{9} - 2)

\frac{d}{d x} (x^{9} - 2) = 9 x^{8}

= 3 (x^{9} - 2)^{2} \cdot 9 x^{8}

Simplify

= 27 x^{8} (x^{9} - 2)^{2}

x \to 1 lim (2 - x)

\frac{\partial}{\partial x} (\frac{2 x y}{( x ^{2} - y ^{2} ) ^{2}})

y^{^{'}} - \frac{3}{x} y = 4 x^{3} cos (2 x)

f (x) = x^{\frac{1}{3}}

(x + 1) \frac{d y}{d x} = x

What is the derivative of (x^9-2)^3 ?
The derivative of (x^9-2)^3 is 27x^8(x^9-2)^2
What is the first derivative of (x^9-2)^3 ?
The first derivative of (x^9-2)^3 is 27x^8(x^9-2)^2