What is the derivative of (4x-3)^{1/2} ?

The derivative of (4x-3)^{1/2} is 2/((4x-3)^{1/2)}

What is the first derivative of (4x-3)^{1/2} ?

The first derivative of (4x-3)^{1/2} is 2/((4x-3)^{1/2)}

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derivative of

(4 x - 3)^{\frac{1}{2}}

\frac{2}{( 4 x - 3 ) ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} ((4 x - 3)^{\frac{1}{2}})

Apply the chain rule:

\frac{1}{2 ( 4 x - 3 ) ^{\frac{1}{2}}} \frac{d}{d x} (4 x - 3)

= \frac{1}{2 ( 4 x - 3 ) ^{\frac{1}{2}}} \frac{d}{d x} (4 x - 3)

\frac{d}{d x} (4 x - 3) = 4

= \frac{1}{2 ( 4 x - 3 ) ^{\frac{1}{2}}} \cdot 4

Simplify

\frac{1}{2 ( 4 x - 3 ) ^{\frac{1}{2}}} \cdot 4 : \frac{2}{( 4 x - 3 ) ^{\frac{1}{2}}}

= \frac{2}{( 4 x - 3 ) ^{\frac{1}{2}}}

ln (1 + x), 0

y^{^{'}} + 3 y = e^{- 3 t}

\int_{0}^{1} 3 x^{3} d x

\int_{0}^{2} - x^{2} + 4 d x

\frac{d}{d y} (x e^{- y})

What is the derivative of (4x-3)^{1/2} ?
The derivative of (4x-3)^{1/2} is 2/((4x-3)^{1/2)}
What is the first derivative of (4x-3)^{1/2} ?
The first derivative of (4x-3)^{1/2} is 2/((4x-3)^{1/2)}