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Popular >

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

Solution

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

Solution

\frac{7}{( x + 4 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

\frac{1 \cdot ( x + 4 ) - 1 \cdot ( x - 3 )}{( x + 4 ) ^{2}} : \frac{7}{( x + 4 ) ^{2}}

= \frac{7}{( x + 4 ) ^{2}}

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\int_{1}^{e} ln (3 x) d x

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\frac{d}{d x} (tan^{3} (x) + tan (x^{3}))

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(dy)/(dx)-2xy=x

\frac{d y}{d x} - 2 x y = x

(dy)/(dx)+y-cos(x)=0

\frac{d y}{d x} + y - cos (x) = 0

Frequently Asked Questions (FAQ)

What is the derivative of (x-3/(x+4)) ?
The derivative of (x-3/(x+4)) is 7/((x+4)^2)
What is the first derivative of (x-3/(x+4)) ?
The first derivative of (x-3/(x+4)) is 7/((x+4)^2)