What is the derivative of f(x)=8sqrt(x) ?

The derivative of f(x)=8sqrt(x) is 4/(sqrt(x))

What is the first derivative of f(x)=8sqrt(x) ?

The first derivative of f(x)=8sqrt(x) is 4/(sqrt(x))

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derivative of

f (x) = 8 x

\frac{4}{x}

Solution steps

\frac{d}{d x} (8 x)

Take the constant out:

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

= 8 \frac{d}{d x} (x)

Apply radical rule:

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

= 8 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 8 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

8 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{4}{x}

= \frac{4}{x}

\int \frac{1}{9 x ^{2} - 1} d x

(x + y) d x = (y - x) d y

\int \frac{21}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

(- 10 - 6) (- 10 - 5)

\frac{d y}{d t} = sin (y)

What is the derivative of f(x)=8sqrt(x) ?
The derivative of f(x)=8sqrt(x) is 4/(sqrt(x))
What is the first derivative of f(x)=8sqrt(x) ?
The first derivative of f(x)=8sqrt(x) is 4/(sqrt(x))