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

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

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

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

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

1 - \frac{2}{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 1 - \frac{2}{x}

y^{^{'}} (x) = \frac{6 x ^{2}}{6 y ^{2} - 11}, y (1) = 0

\int 16 + x^{2} d x

\int \frac{e ^{5 x}}{( e ^{2 x} + 1 ) ^{2}} d x

y^{^{'}} = 20 t^{4} - 20 t^{3} + 3 - 4 t^{- 2}

\frac{d}{d x} (x^{0.75})

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