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Popular >

derivative of 0.04x^2-2x+6x^{0.2}

Solution

derivative of

0.04 x^{2} - 2 x + 6 x^{0.2}

Solution

0.08 x - 2 + \frac{1.2}{x ^{0.8}}

Solution steps

\frac{d}{d x} (0.04 x^{2} - 2 x + 6 x^{0.2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (0.04 x^{2}) - \frac{d}{d x} (2 x) + \frac{d}{d x} (6 x^{0.2})

\frac{d}{d x} (0.04 x^{2}) = 0.08 x

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (6 x^{0.2}) = \frac{1.2}{x ^{0.8}}

= 0.08 x - 2 + \frac{1.2}{x ^{0.8}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 0.04x^2-2x+6x^{0.2} ?
The derivative of 0.04x^2-2x+6x^{0.2} is 0.08x-2+(1.2)/(x^{0.8)}
What is the first derivative of 0.04x^2-2x+6x^{0.2} ?
The first derivative of 0.04x^2-2x+6x^{0.2} is 0.08x-2+(1.2)/(x^{0.8)}