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Popular >

derivative of sqrt(x^2-4x)

Solution

\frac{d}{d x} (x^{2} - 4 x)

Solution

\frac{x - 2}{x ^{2} - 4 x}

Solution steps

\frac{d}{d x} (x^{2} - 4 x)

Apply the chain rule:

\frac{1}{2 x ^{2} - 4 x} \frac{d}{d x} (x^{2} - 4 x)

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

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

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

Simplify

\frac{1}{2 x ^{2} - 4 x} (2 x - 4) : \frac{x - 2}{x ^{2} - 4 x}

= \frac{x - 2}{x ^{2} - 4 x}

Graph

Popular Examples

(1+x^2)dy+(xy+x^3+x)dx=0

(1 + x^{2}) d y + (x y + x^{3} + x) d x = 0

(dy)/(dx)=((6x-2xy^3))/(y^2)

\frac{d y}{d x} = \frac{( 6 x - 2 x y ^{3} )}{y ^{2}}

tangent of 2x^2+3x-2 tangent of

2 x^{2} + 3 x - 2

derivative of f(t)=(6t+38)/(t+9)derivative of

f (t) = \frac{6 t + 38}{t + 9}

integral from 1 to 6 of (x^2+1)/(7x-x^2)

\int_{1}^{6} \frac{x ^{2} + 1}{7 x - x ^{2}} d x

Frequently Asked Questions (FAQ)

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