What is the derivative derivative of ((50/((sqrt(x))))x) ?

The derivative derivative of ((50/((sqrt(x))))x) is (25)/(sqrt(x))

What is the first derivative derivative of ((50/((sqrt(x))))x) ?

The first derivative derivative of ((50/((sqrt(x))))x) is (25)/(sqrt(x))

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derivative of

\frac{d}{d x} ((\frac{50}{( x )}) x)

\frac{25}{x}

Solution steps

\frac{d}{d x} ((\frac{50}{( x )}) x)

Simplify

(\frac{50}{( x )}) x : 50 x

= \frac{d}{d x} (50 x)

Take the constant out:

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

= 50 \frac{d}{d x} (x)

Apply radical rule:

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

= 50 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 50 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

50 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{25}{x}

= \frac{25}{x}

h \to 0 lim \frac{( ( x + h ) ^{4} - x ^{4} )}{h}

\frac{d}{d x} (\frac{100}{( 100 - x )})

(4, 0), (0, 4)

\int (tan (y)) d y

\frac{d}{d t} (cos (2 t))

What is the derivative derivative of ((50/((sqrt(x))))x) ?
The derivative derivative of ((50/((sqrt(x))))x) is (25)/(sqrt(x))
What is the first derivative derivative of ((50/((sqrt(x))))x) ?
The first derivative derivative of ((50/((sqrt(x))))x) is (25)/(sqrt(x))