What is the derivative of 4x^{1/2} ?

The derivative of 4x^{1/2} is 2/(x^{1/2)}

What is the first derivative of 4x^{1/2} ?

The first derivative of 4x^{1/2} is 2/(x^{1/2)}

derivative of

4 x^{\frac{1}{2}}

\frac{2}{x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (4 x^{\frac{1}{2}})

Take the constant out:

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

= 4 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 4 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

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

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

\frac{d}{d x} (a + b x + c x^{2} + d x^{3})

\frac{\partial}{\partial y} (\frac{13}{2} x^{4} y)

\int \frac{ln ( sin ( x ) )}{sin ^{2} ( x )} d x

\frac{\partial}{\partial x} (x^{2} + y^{2} - y^{2} x - 7)

t an g e n t f (x) = x^{2} - 2, (3, 7)

What is the derivative of 4x^{1/2} ?
The derivative of 4x^{1/2} is 2/(x^{1/2)}
What is the first derivative of 4x^{1/2} ?
The first derivative of 4x^{1/2} is 2/(x^{1/2)}