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Popular >

derivative of (x+2sqrt(2x-3))

Solution

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

Solution

\frac{3 x - 1}{2 x - 3}

Solution steps

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

Apply the Product Rule:

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

f = x + 2, g = 2 x - 3

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

\frac{d}{d x} (x + 2) = 1

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

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

Simplify

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

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

Graph

Popular Examples

(\partial)/(\partial x)(x^2+3yz+4xy)

\frac{\partial}{\partial x} (x^{2} + 3 yz + 4 x y)

y^'=(xy^'+y)y^1985

y^{^{'}} = (x y^{^{'}} + y) y^{1} 985

derivative of (2x/(x^3))

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

(\partial)/(\partial y)(ln(2x^3+3y^2))

\frac{\partial}{\partial y} (ln (2 x^{3} + 3 y^{2}))

derivative of (7x)/(x-3)derivative of

\frac{7 x}{x - 3}

Frequently Asked Questions (FAQ)

What is the derivative of (x+2sqrt(2x-3)) ?
The derivative of (x+2sqrt(2x-3)) is (3x-1)/(sqrt(2x-3))
What is the first derivative of (x+2sqrt(2x-3)) ?
The first derivative of (x+2sqrt(2x-3)) is (3x-1)/(sqrt(2x-3))