What is the derivative of y=5sqrt(x) ?

The derivative of y=5sqrt(x) is 5/(2sqrt(x))

What is the first derivative of y=5sqrt(x) ?

The first derivative of y=5sqrt(x) is 5/(2sqrt(x))

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derivative of

y = 5 x

\frac{5}{2 x}

Solution steps

\frac{d}{d x} (5 x)

Take the constant out:

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

= 5 \frac{d}{d x} (x)

Apply radical rule:

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

= 5 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 5 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

5 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{5}{2 x}

= \frac{5}{2 x}

\int_{0}^{1} (1 - x^{2})^{0.5} d x

f (x) = \frac{x ^{2} + 32 x}{8}

\frac{\partial}{\partial x} (x ln (z^{4} + x^{2}))

\int cos^{5} (2 t) d t

\frac{d}{d x} \frac{x}{1 - ( ln ( x ) ) ^{2}}

What is the derivative of y=5sqrt(x) ?
The derivative of y=5sqrt(x) is 5/(2sqrt(x))
What is the first derivative of y=5sqrt(x) ?
The first derivative of y=5sqrt(x) is 5/(2sqrt(x))