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

The derivative of x^2+3*sqrt(x) is 2x+3/(2sqrt(x))

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

The first derivative of x^2+3*sqrt(x) is 2x+3/(2sqrt(x))

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\frac{d}{d x} (x^{2} + 3 \cdot x)

2 x + \frac{3}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 x + \frac{3}{2 x}

(x^{2} + 4) y^{^{'}} = x y

\int x^{3} x + 2 d x

\int x e^{x^{2 - 1}} d x

1 - 7 x^{2} \frac{d y}{d x} = x

(2 x y^{4} - 2 x y) d x - (3 + 3 x^{2}) d y = 0

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