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Popular >

derivative of 80(1-0.1x^3)

Solution

\frac{d}{d x} (80 (1 - 0.1 x)^{3})

Solution

- 24 (1 - 0.1 x)^{2}

Solution steps

\frac{d}{d x} (80 (1 - 0.1 x)^{3})

Take the constant out:

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

= 80 \frac{d}{d x} ((1 - 0.1 x)^{3})

Apply the chain rule:

3 (1 - 0.1 x)^{2} \frac{d}{d x} (1 - 0.1 x)

= 3 (1 - 0.1 x)^{2} \frac{d}{d x} (1 - 0.1 x)

\frac{d}{d x} (1 - 0.1 x) = - 0.1

= 80 \cdot 3 (1 - 0.1 x)^{2} (- 0.1)

Simplify

= - 24 (1 - 0.1 x)^{2}

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y = x^{2}, x = 0, x = 4

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Frequently Asked Questions (FAQ)

What is the derivative of 80(1-0.1x^3) ?
The derivative of 80(1-0.1x^3) is -24(1-0.1x)^2
What is the first derivative of 80(1-0.1x^3) ?
The first derivative of 80(1-0.1x^3) is -24(1-0.1x)^2