What is the derivative of 108sqrt(x) ?

The derivative of 108sqrt(x) is (54)/(sqrt(x))

What is the first derivative of 108sqrt(x) ?

The first derivative of 108sqrt(x) is (54)/(sqrt(x))

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\frac{d}{d x} (108 x)

\frac{54}{x}

Solution steps

\frac{d}{d x} (108 x)

Take the constant out:

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

= 108 \frac{d}{d x} (x)

Apply radical rule:

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

= 108 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 108 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

108 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{54}{x}

= \frac{54}{x}

x \to 1 lim (\frac{x}{x + 1})

f (x) = 0.8 e^{x} arctan (x)

\int 15.7 - 0.2 x d x

\int_{- \infty}^{0} x e^{- 4 x} d x

n = 1 \sum \infty \frac{1}{n ^{1}}

What is the derivative of 108sqrt(x) ?
The derivative of 108sqrt(x) is (54)/(sqrt(x))
What is the first derivative of 108sqrt(x) ?
The first derivative of 108sqrt(x) is (54)/(sqrt(x))