What is the derivative of 50sqrt(x) ?

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

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

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

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

\frac{25}{x}

Solution steps

\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}

ln (1 + x^{2})

f (x) = e^{2} + ln (7)

(\frac{1 - cos ( x )}{x})^{^{'}}

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

\frac{d}{d x} (- csc^{2} (x) - cos (2 x) \cdot 2)

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