What is the derivative of 5+3sqrt(x) ?

The derivative of 5+3sqrt(x) is 3/(2sqrt(x))

What is the first derivative of 5+3sqrt(x) ?

The first derivative of 5+3sqrt(x) is 3/(2sqrt(x))

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\frac{d}{d x} (5 + 3 x)

\frac{3}{2 x}

Solution steps

\frac{d}{d x} (5 + 3 x)

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= \frac{3}{2 x}

\int \frac{5 x - 3}{x ^{2} + 4} d x

\int \frac{1}{x ^{2} + 4 x + 13} d x

x \to π lim (ln ∣ cos (x) - 7 ∣)

\int_{0}^{\frac{π}{2}} cos^{7} (x) d x

6 y^{^{''}} + 10 y^{^{'}} = 0

What is the derivative of 5+3sqrt(x) ?
The derivative of 5+3sqrt(x) is 3/(2sqrt(x))
What is the first derivative of 5+3sqrt(x) ?
The first derivative of 5+3sqrt(x) is 3/(2sqrt(x))