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Popular >

derivative of y=(4x-3)^{1/2}

Solution

derivative of

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

Solution

\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}}}

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limit as x approaches infinity of 2-2

x \to \infty lim (2 - 2)

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\int_{- 1}^{1} \frac{1}{x ^{\frac{8}{5}}} d x

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\int_{2}^{7} 5 d x

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\int (4 x + 5)^{- 2} d x

integral of cos(3x)x

\int cos (3 x) x d x

Frequently Asked Questions (FAQ)

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