What is the derivative of f(x)=(7x)/(3+x) ?

The derivative of f(x)=(7x)/(3+x) is (21)/((3+x)^2)

What is the first derivative of f(x)=(7x)/(3+x) ?

The first derivative of f(x)=(7x)/(3+x) is (21)/((3+x)^2)

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derivative of

f (x) = \frac{7 x}{3 + x}

\frac{21}{( 3 + x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{7 x}{3 + x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (\frac{x}{3 + x})

Apply the Quotient Rule:

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

= 7 \cdot \frac{\frac{d x}{d x} ( 3 + x ) - \frac{d}{d x} ( 3 + x ) x}{( 3 + x ) ^{2}}

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

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

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

Simplify

7 \cdot \frac{1 \cdot ( 3 + x ) - 1 \cdot x}{( 3 + x ) ^{2}} : \frac{21}{( 3 + x ) ^{2}}

= \frac{21}{( 3 + x ) ^{2}}

\frac{( 1 - e ^{- s} )}{s ^{3}}

\frac{d}{d x} (\frac{45}{0.01 x ^{2} + 1})

\int 3 cos (10 x) d x

\int sin^{5} (x co) s^{4} x d x

\frac{d}{d x} (lo g_{5} (x^{4} 2 x^{2} + 9 x))

What is the derivative of f(x)=(7x)/(3+x) ?
The derivative of f(x)=(7x)/(3+x) is (21)/((3+x)^2)
What is the first derivative of f(x)=(7x)/(3+x) ?
The first derivative of f(x)=(7x)/(3+x) is (21)/((3+x)^2)