What is the derivative of 10x+5/(x+1) ?

The derivative of 10x+5/(x+1) is 10-5/((x+1)^2)

What is the first derivative of 10x+5/(x+1) ?

The first derivative of 10x+5/(x+1) is 10-5/((x+1)^2)

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\frac{d}{d x} (10 x + \frac{5}{x + 1})

10 - \frac{5}{( x + 1 ) ^{2}}

Solution steps

\frac{d}{d x} (10 x + \frac{5}{x + 1})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (10 x) + \frac{d}{d x} (\frac{5}{x + 1})

\frac{d}{d x} (10 x) = 10

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

= 10 - \frac{5}{( x + 1 ) ^{2}}

\frac{x}{2} - 1

\frac{\partial}{\partial x} (4 - ∣ x ∣ - ∣ y ∣)

4 x e^{- x}

\int \frac{x ^{3} - 3 x + 1}{y + y} d x

\int (4 e^{- 0.8 x}) d x

What is the derivative of 10x+5/(x+1) ?
The derivative of 10x+5/(x+1) is 10-5/((x+1)^2)
What is the first derivative of 10x+5/(x+1) ?
The first derivative of 10x+5/(x+1) is 10-5/((x+1)^2)