What is the derivative of 4sqrt(x)-x ?

The derivative of 4sqrt(x)-x is 2/(sqrt(x))-1

What is the first derivative of 4sqrt(x)-x ?

The first derivative of 4sqrt(x)-x is 2/(sqrt(x))-1

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\frac{d}{d x} (4 x - x)

\frac{2}{x} - 1

Solution steps

\frac{d}{d x} (4 x - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) - \frac{d x}{d x}

\frac{d}{d x} (4 x) = \frac{2}{x}

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

= \frac{2}{x} - 1

x sin (- 2 x)

\int 2 x d x

\int 7 t sin^{2} (t) d t

\frac{\partial}{\partial y} (arctan (\frac{x}{y}))

\frac{\partial}{\partial y} (5 arctan (\frac{x}{y}))

What is the derivative of 4sqrt(x)-x ?
The derivative of 4sqrt(x)-x is 2/(sqrt(x))-1
What is the first derivative of 4sqrt(x)-x ?
The first derivative of 4sqrt(x)-x is 2/(sqrt(x))-1