What is the derivative of y=4+9sqrt(x) ?

The derivative of y=4+9sqrt(x) is 9/(2sqrt(x))

What is the first derivative of y=4+9sqrt(x) ?

The first derivative of y=4+9sqrt(x) is 9/(2sqrt(x))

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derivative of

y = 4 + 9 x

\frac{9}{2 x}

Solution steps

\frac{d}{d x} (4 + 9 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4) + \frac{d}{d x} (9 x)

\frac{d}{d x} (4) = 0

\frac{d}{d x} (9 x) = \frac{9}{2 x}

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

Simplify

= \frac{9}{2 x}

y^{^{'}} = y - y^{3}

sin (3 t) cos (5 t)

(2 x - 1) d x + (5 y + 8) d y = 0

\int_{0}^{\frac{1}{3}} \frac{3}{1 + 9 x ^{2}} d x

\int_{- 5}^{1} ∣ x + 3 ∣ d x

What is the derivative of y=4+9sqrt(x) ?
The derivative of y=4+9sqrt(x) is 9/(2sqrt(x))
What is the first derivative of y=4+9sqrt(x) ?
The first derivative of y=4+9sqrt(x) is 9/(2sqrt(x))