What is the derivative of f(x)=20sqrt(x) ?

The derivative of f(x)=20sqrt(x) is (10)/(sqrt(x))

What is the first derivative of f(x)=20sqrt(x) ?

The first derivative of f(x)=20sqrt(x) is (10)/(sqrt(x))

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derivative of

f (x) = 20 x

\frac{10}{x}

Solution steps

\frac{d}{d x} (20 x)

Take the constant out:

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

= 20 \frac{d}{d x} (x)

Apply radical rule:

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

= 20 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 20 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

20 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{10}{x}

= \frac{10}{x}

y = \frac{x ^{2}}{e ^{x}}

\int \frac{5 x - 2}{x ^{2} - 4} d x

\frac{d}{d x} (sin (8 x + 4))

\frac{d}{d x} ((f (x) (4 x))^{2} + 2)

What is the derivative of f(x)=20sqrt(x) ?
The derivative of f(x)=20sqrt(x) is (10)/(sqrt(x))
What is the first derivative of f(x)=20sqrt(x) ?
The first derivative of f(x)=20sqrt(x) is (10)/(sqrt(x))