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Popular >

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

Solution

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

Solution

\frac{5}{( 3 x + 4 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Expand

2 (3 x + 4) - 3 (2 x + 1) : 5

= \frac{5}{( 3 x + 4 ) ^{2}}

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\frac{\partial}{\partial y} (\frac{x ^{2}}{y})

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\int sin (x) + cos (x) d x

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\int (10 x + 2) 5 x^{2} + 2 x d x

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x \to 0 lim (\frac{4}{x csc ( 8 x )})

Frequently Asked Questions (FAQ)

What is the derivative of (2x+1/(3x+4)) ?
The derivative of (2x+1/(3x+4)) is 5/((3x+4)^2)
What is the first derivative of (2x+1/(3x+4)) ?
The first derivative of (2x+1/(3x+4)) is 5/((3x+4)^2)