What is the derivative of y=12sqrt(x) ?

The derivative of y=12sqrt(x) is 6/(sqrt(x))

What is the first derivative of y=12sqrt(x) ?

The first derivative of y=12sqrt(x) is 6/(sqrt(x))

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derivative of

y = 12 x

\frac{6}{x}

Solution steps

\frac{d}{d x} (12 x)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 12 \frac{d}{d x} (x)

Apply radical rule:

a = a^{\frac{1}{2}}

= 12 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 12 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

12 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{6}{x}

= \frac{6}{x}

y^{^{'}} = 10 x y - 2 x

\int_{- \infty}^{0} \frac{1}{2 - 3 x} d x

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

x^{2} \frac{d}{d x} (\frac{d y}{d x}) + 19 x \frac{d y}{d x} + 145 y = 0

5 y^{^{''}} + 11 y^{^{'}} + 7 y = 0, y (0) = 8, y^{^{'}} (0) = 10

What is the derivative of y=12sqrt(x) ?
The derivative of y=12sqrt(x) is 6/(sqrt(x))
What is the first derivative of y=12sqrt(x) ?
The first derivative of y=12sqrt(x) is 6/(sqrt(x))