What is the derivative of 2/3 x^{3/2}+1 ?

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

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

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

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

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

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (1) = 0

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

Simplify

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

\frac{d}{d x} (x^{3} - 3 x^{2} - 24 x + 32)

\frac{1}{0.1 s + 1}

\int (3 e^{x} + 5) d x

\frac{d}{d x} (\frac{8 x ^{6} - 125 b ^{9}}{2 x ^{2} - 5 b ^{3}})

(2 x + 1)^{5} (x^{3} - x + 1)^{4}

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