What is the derivative of f(x)=sqrt(x)-x ?

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

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

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

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derivative of

f (x) = x - x

\frac{1}{2 x} - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int \frac{( x + 7 )}{x ^{2} + 9} d x

n = 1 \sum \infty \frac{x ^{n}}{n}

\int \frac{1}{( 64 + x ^{2} ) ^{2}} d x

\frac{d y}{d x} + 2 y = x^{2} + 2 x

\int \frac{13 x ^{2}}{x ^{2} - 4} d x

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