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

The derivative of 2(5-9x^5) is -90(5-9x)^4

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

The first derivative of 2(5-9x^5) is -90(5-9x)^4

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

- 90 (5 - 9 x)^{4}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

5 (5 - 9 x)^{4} \frac{d}{d x} (5 - 9 x)

= 5 (5 - 9 x)^{4} \frac{d}{d x} (5 - 9 x)

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

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

Simplify

= - 90 (5 - 9 x)^{4}

\int \frac{1 - x}{1 - x ^{2}} d x

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What is the derivative of 2(5-9x^5) ?
The derivative of 2(5-9x^5) is -90(5-9x)^4
What is the first derivative of 2(5-9x^5) ?
The first derivative of 2(5-9x^5) is -90(5-9x)^4