What is the derivative of xsqrt(2x-3) ?

The derivative of xsqrt(2x-3) is (3x-3)/(sqrt(2x-3))

What is the first derivative of xsqrt(2x-3) ?

The first derivative of xsqrt(2x-3) is (3x-3)/(sqrt(2x-3))

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

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

Solution steps

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

Apply the Product Rule:

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

f = x, g = 2 x - 3

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

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

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

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

Simplify

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

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

y = x^{2} - 8 x + 5

x \to 5 lim (1)

\frac{\partial}{\partial x} (ln (4 x + 3 y))

y^{^{'}} + 2 y = 4 cos (2 x)

\int \frac{5 x ^{4} + 8}{x ^{5} + 8 x} d x

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