What is the derivative of 2+x^{3/2} ?

The derivative of 2+x^{3/2} is (3x^{1/2})/2

What is the first derivative of 2+x^{3/2} ?

The first derivative of 2+x^{3/2} is (3x^{1/2})/2

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

\frac{3 x ^{\frac{1}{2}}}{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2) = 0

\frac{d}{d x} (x^{\frac{3}{2}}) = \frac{3 x ^{\frac{1}{2}}}{2}

= 0 + \frac{3 x ^{\frac{1}{2}}}{2}

Simplify

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

\int_{- 2}^{2} 4 d x

\frac{\partial}{\partial y} (- x^{4} + 4 x y - y^{4} + 1)

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

x \to - 2 lim (4 - 3 x^{2})

x \to 0 + lim (3 + x^{8} ln (x))

What is the derivative of 2+x^{3/2} ?
The derivative of 2+x^{3/2} is (3x^{1/2})/2
What is the first derivative of 2+x^{3/2} ?
The first derivative of 2+x^{3/2} is (3x^{1/2})/2