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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

\frac{1 \cdot ( x + 3 ) - 1 \cdot ( x + 1 )}{( x + 3 ) ^{2}} : \frac{2}{( x + 3 ) ^{2}}

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

Popular Examples

f(x)=(4x+4)/(3x^{2/3)}

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

derivative of y= 1/(2x+1)derivative of

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\int_{- 1}^{4} 2 - 2 x d x

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\frac{cot ( x )}{1 + cot ( x )}

derivative of cos^3(pix)derivative of

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Frequently Asked Questions (FAQ)

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