What is the derivative of-x+6/x+1 ?

The derivative of-x+6/x+1 is -6/(x^2)-1

What is the first derivative of-x+6/x+1 ?

The first derivative of-x+6/x+1 is -6/(x^2)-1

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\frac{d}{d x} (- x + \frac{6}{x} + 1)

- \frac{6}{x ^{2}} - 1

Solution steps

\frac{d}{d x} (- x + \frac{6}{x} + 1)

Apply the Sum/Difference Rule:

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

= - \frac{d x}{d x} + \frac{d}{d x} (\frac{6}{x}) + \frac{d}{d x} (1)

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

\frac{d}{d x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

\frac{d}{d x} (1) = 0

= - 1 - \frac{6}{x ^{2}} + 0

Simplify

= - \frac{6}{x ^{2}} - 1

\int \frac{2 x + 3}{x ^{3} + x} d x

\int_{- 2}^{2} - x^{2} + 4 d x

\frac{d y}{d x} = 9.8 - 0.2 y

y = arctan (2 - x)

What is the derivative of-x+6/x+1 ?
The derivative of-x+6/x+1 is -6/(x^2)-1
What is the first derivative of-x+6/x+1 ?
The first derivative of-x+6/x+1 is -6/(x^2)-1