What is the derivative of 6x^{3/2}+1 ?

The derivative of 6x^{3/2}+1 is 9x^{1/2}

What is the first derivative of 6x^{3/2}+1 ?

The first derivative of 6x^{3/2}+1 is 9x^{1/2}

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\frac{d}{d x} (6 x^{\frac{3}{2}} + 1)

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

Solution steps

\frac{d}{d x} (6 x^{\frac{3}{2}} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{\frac{3}{2}}) + \frac{d}{d x} (1)

\frac{d}{d x} (6 x^{\frac{3}{2}}) = 9 x^{\frac{1}{2}}

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

= 9 x^{\frac{1}{2}} + 0

Simplify

= 9 x^{\frac{1}{2}}

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What is the derivative of 6x^{3/2}+1 ?
The derivative of 6x^{3/2}+1 is 9x^{1/2}
What is the first derivative of 6x^{3/2}+1 ?
The first derivative of 6x^{3/2}+1 is 9x^{1/2}