What is the derivative of y=14sqrt(x) ?

The derivative of y=14sqrt(x) is 7/(sqrt(x))

What is the first derivative of y=14sqrt(x) ?

The first derivative of y=14sqrt(x) is 7/(sqrt(x))

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derivative of

y = 14 x

\frac{7}{x}

Solution steps

\frac{d}{d x} (14 x)

Take the constant out:

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

= 14 \frac{d}{d x} (x)

Apply radical rule:

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

= 14 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 14 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

14 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{7}{x}

= \frac{7}{x}

\int 12 tan^{11} (x) sec^{2} (x) d x

\int_{1}^{5} \frac{x ^{2} + 2}{6 x - x ^{2}} d x

\int 3 x^{2} + 4 x + 1 d x

3 \frac{d y}{d x} + 15 y = 5

x \to 0 lim (1 + e^{x})

What is the derivative of y=14sqrt(x) ?
The derivative of y=14sqrt(x) is 7/(sqrt(x))
What is the first derivative of y=14sqrt(x) ?
The first derivative of y=14sqrt(x) is 7/(sqrt(x))