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

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

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

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

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

\frac{3}{2 x} - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{3}{2 x} - 1

f (x) = \frac{ln ( x )}{x ^{4}}

y = 2 sin (x) + sin (2 x), x = 0, x = π

\frac{d y}{d t} = y + 1 + 2 \cdot sin (t)

ln (p)

f (t) = 3 t + 4 (t)^{2}

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