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Popular >

derivative of xsqrt(3x-2)

Solution

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

Solution

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

Solution steps

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

Apply the Product Rule:

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

f = x, g = 3 x - 2

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

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

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

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

Simplify

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

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

Graph

Popular Examples

xy^'+y=0,y(4)=6

x y^{^{'}} + y = 0, y (4) = 6

derivative of f(x)= 4/x-2/(x^3)+1/(x^4)derivative of

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

tangent of y=-7/2 x^2+5x+5,(-1,-7/2)tangent of

y = - \frac{7}{2} x^{2} + 5 x + 5, (- 1, - \frac{7}{2})

integral of cos^3(x)sin^{-4}(x)

\int cos^{3} (x) sin^{- 4} (x) d x

(dy)/(dx)=((x^3))/(y^2)

\frac{d y}{d x} = \frac{( x ^{3} )}{y ^{2}}

Frequently Asked Questions (FAQ)

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