What is the derivative of 5+6x^{3/2} ?

The derivative of 5+6x^{3/2} is 9x^{1/2}

What is the first derivative of 5+6x^{3/2} ?

The first derivative of 5+6x^{3/2} is 9x^{1/2}

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\frac{d}{d x} (5 + 6 x^{\frac{3}{2}})

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

Solution steps

\frac{d}{d x} (5 + 6 x^{\frac{3}{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5) + \frac{d}{d x} (6 x^{\frac{3}{2}})

\frac{d}{d x} (5) = 0

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

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

Simplify

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

x^{^{''}} + 4 x = 3

\int \frac{7}{x ^{3} - 27} d x

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

\frac{\partial}{\partial x} (5)

\frac{d y}{d x} = e^{2 - x}

What is the derivative of 5+6x^{3/2} ?
The derivative of 5+6x^{3/2} is 9x^{1/2}
What is the first derivative of 5+6x^{3/2} ?
The first derivative of 5+6x^{3/2} is 9x^{1/2}