What is the derivative of 9(x^6-2)^5 ?

The derivative of 9(x^6-2)^5 is 270x^5(x^6-2)^4

What is the first derivative of 9(x^6-2)^5 ?

The first derivative of 9(x^6-2)^5 is 270x^5(x^6-2)^4

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derivative of

9 (x^{6} - 2)^{5}

270 x^{5} (x^{6} - 2)^{4}

Solution steps

\frac{d}{d x} (9 (x^{6} - 2)^{5})

Take the constant out:

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

= 9 \frac{d}{d x} ((x^{6} - 2)^{5})

Apply the chain rule:

5 (x^{6} - 2)^{4} \frac{d}{d x} (x^{6} - 2)

= 5 (x^{6} - 2)^{4} \frac{d}{d x} (x^{6} - 2)

\frac{d}{d x} (x^{6} - 2) = 6 x^{5}

= 9 \cdot 5 (x^{6} - 2)^{4} \cdot 6 x^{5}

Simplify

= 270 x^{5} (x^{6} - 2)^{4}

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

f (x) = 3 x^{2} + 6 x

x \to - 2 lim (3 - 5 x^{2})

\frac{\partial}{\partial x} (\frac{1}{2 π} arctan (\frac{x}{y}))

y^{^{'}} = \frac{x y}{x ^{2} - 1}

What is the derivative of 9(x^6-2)^5 ?
The derivative of 9(x^6-2)^5 is 270x^5(x^6-2)^4
What is the first derivative of 9(x^6-2)^5 ?
The first derivative of 9(x^6-2)^5 is 270x^5(x^6-2)^4