What is the derivative of f(x)= x/(4x+5) ?

The derivative of f(x)= x/(4x+5) is 5/((4x+5)^2)

What is the first derivative of f(x)= x/(4x+5) ?

The first derivative of f(x)= x/(4x+5) is 5/((4x+5)^2)

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derivative of

f (x) = \frac{x}{4 x + 5}

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

Solution steps

\frac{d}{d x} (\frac{x}{4 x + 5})

Apply the Quotient Rule:

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

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

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

\frac{d}{d x} (4 x + 5) = 4

= \frac{1 \cdot ( 4 x + 5 ) - 4 x}{( 4 x + 5 ) ^{2}}

Simplify

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

n = 1 \sum \infty \frac{8}{n ^{3}}

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

\int sec^{3} (π) x d x

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

y^{^{'}} = 3 y + 6

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