What is the derivative of f(x)= x/(x+7) ?

The derivative of f(x)= x/(x+7) is 7/((x+7)^2)

What is the first derivative of f(x)= x/(x+7) ?

The first derivative of f(x)= x/(x+7) is 7/((x+7)^2)

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derivative of

f (x) = \frac{x}{x + 7}

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

Solution steps

\frac{d}{d x} (\frac{x}{x + 7})

Apply the Quotient Rule:

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

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

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

\frac{d}{d x} (x + 7) = 1

= \frac{1 \cdot ( x + 7 ) - 1 \cdot x}{( x + 7 ) ^{2}}

1 \cdot (x + 7) - 1 \cdot x = 7

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

y^{^{'''}} + y^{^{''}} = x - e^{- x}

\int x sin (\frac{1}{11} x) d x

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

y^{^{''}} + 16 y^{^{'}} + 65 y = 0

\frac{d}{d x} (x^{2} - 25 ln (x^{2}))

What is the derivative of f(x)= x/(x+7) ?
The derivative of f(x)= x/(x+7) is 7/((x+7)^2)
What is the first derivative of f(x)= x/(x+7) ?
The first derivative of f(x)= x/(x+7) is 7/((x+7)^2)