What is the derivative of y-1/((x+3)) ?

The derivative of y-1/((x+3)) is (dy)/(dx)+1/((x+3)^2)

What is the first derivative of y-1/((x+3)) ?

The first derivative of y-1/((x+3)) is (dy)/(dx)+1/((x+3)^2)

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

Simplify

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

What is the derivative of y-1/((x+3)) ?
The derivative of y-1/((x+3)) is (dy)/(dx)+1/((x+3)^2)
What is the first derivative of y-1/((x+3)) ?
The first derivative of y-1/((x+3)) is (dy)/(dx)+1/((x+3)^2)