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Popular >

derivative of xsqrt(3x-4)

Solution

derivative of

x 3 x - 4

Solution

\frac{9 x - 8}{2 3 x - 4}

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = 3 x - 4

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

\frac{d x}{d x} = 1

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

= 1 \cdot 3 x - 4 + \frac{3}{2 3 x - 4} x

Simplify

1 \cdot 3 x - 4 + \frac{3}{2 3 x - 4} x : \frac{9 x - 8}{2 3 x - 4}

= \frac{9 x - 8}{2 3 x - 4}

Graph

Popular Examples

sum from n=1 to infinity of 2(-e)^{-n}

n = 1 \sum \infty 2 (- e)^{- n}

integral of (x^5)/(sqrt(x^2+7))

\int \frac{x ^{5}}{x ^{2} + 7} d x

integral of 1/(sqrt(5+4x-x^2))

\int \frac{1}{5 + 4 x - x ^{2}} d x

limit as x approaches-infinity of ((sqrt(4x^2+1)))/((2-7x))

x \to - \infty lim (\frac{( 4 x ^{2} + 1 )}{( 2 - 7 x )})

xy^'+4y=-25xsin(x^5)

x y^{^{'}} + 4 y = - 25 x sin (x^{5})

Frequently Asked Questions (FAQ)

What is the derivative of xsqrt(3x-4) ?
The derivative of xsqrt(3x-4) is (9x-8)/(2sqrt(3x-4))
What is the first derivative of xsqrt(3x-4) ?
The first derivative of xsqrt(3x-4) is (9x-8)/(2sqrt(3x-4))