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Popular >

derivative of f(x)=((0.8-0.3x))/x

Solution

derivative of

f (x) = \frac{( 0.8 - 0.3 x )}{x}

Solution

- \frac{0.8}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{0.8 - 0.3 x}{x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( 0.8 - 0.3 x ) x - \frac{d x}{d x} ( 0.8 - 0.3 x )}{x ^{2}}

\frac{d}{d x} (0.8 - 0.3 x) = - 0.3

\frac{d x}{d x} = 1

= \frac{( - 0.3 ) x - 1 \cdot ( 0.8 - 0.3 x )}{x ^{2}}

Simplify

\frac{( - 0.3 ) x - 1 \cdot ( 0.8 - 0.3 x )}{x ^{2}} : - \frac{0.8}{x ^{2}}

= - \frac{0.8}{x ^{2}}

Popular Examples

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d/(da)(cos^4(a)+sin^4(a))

\frac{d}{d a} (cos^{4} (a) + sin^{4} (a))

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=((0.8-0.3x))/x ?
The derivative of f(x)=((0.8-0.3x))/x is -(0.8)/(x^2)
What is the first derivative of f(x)=((0.8-0.3x))/x ?
The first derivative of f(x)=((0.8-0.3x))/x is -(0.8)/(x^2)