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Popular >

derivative of 2x+(4x)/(3x-1)

Solution

derivative of

2 x + \frac{4 x}{3 x - 1}

Solution

2 - \frac{4}{( 3 x - 1 ) ^{2}}

Solution steps

\frac{d}{d x} (2 x + \frac{4 x}{3 x - 1})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{4 x}{3 x - 1})

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

\frac{d}{d x} (\frac{4 x}{3 x - 1}) = - \frac{4}{( 3 x - 1 ) ^{2}}

= 2 - \frac{4}{( 3 x - 1 ) ^{2}}

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x \to 0 lim (\frac{1}{x - x ^{2}} - \frac{1}{x})

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Frequently Asked Questions (FAQ)

What is the derivative of 2x+(4x)/(3x-1) ?
The derivative of 2x+(4x)/(3x-1) is 2-4/((3x-1)^2)
What is the first derivative of 2x+(4x)/(3x-1) ?
The first derivative of 2x+(4x)/(3x-1) is 2-4/((3x-1)^2)