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

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

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

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

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derivative of

2 + 3 x

\frac{3}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= \frac{3}{2 x}

y^{^{'}} - 2 y = t^{2} e^{2 t}

y^{^{''}} + y = 7 sin (2 t) + 5 t cos (2 t)

\frac{24}{( 4 x - 17 ) ^{\frac{5}{2}}}

y = 8 9 x^{2} + 7

y = arccos (4 x)

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