What is the derivative of 2sqrt(x+3)-x ?

The derivative of 2sqrt(x+3)-x is 1/(sqrt(x+3))-1

What is the first derivative of 2sqrt(x+3)-x ?

The first derivative of 2sqrt(x+3)-x is 1/(sqrt(x+3))-1

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

\frac{1}{x + 3} - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{1}{x + 3} - 1

What is the derivative of 2sqrt(x+3)-x ?
The derivative of 2sqrt(x+3)-x is 1/(sqrt(x+3))-1
What is the first derivative of 2sqrt(x+3)-x ?
The first derivative of 2sqrt(x+3)-x is 1/(sqrt(x+3))-1