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Popular >

derivative of sqrt(x^2-4x-3)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

\frac{1}{2 x ^{2} - 4 x - 3} \frac{d}{d x} (x^{2} - 4 x - 3)

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

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

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

Simplify

\frac{1}{2 x ^{2} - 4 x - 3} (2 x - 4) : \frac{x - 2}{x ^{2} - 4 x - 3}

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

Popular Examples

derivative of (x^2+2x)/((x+1)^2)derivative of

\frac{x ^{2} + 2 x}{( x + 1 ) ^{2}}

(\partial)/(\partial h)(2pir^2+2pirh)

\frac{\partial}{\partial h} (2 π r^{2} + 2 π r h)

area f(x)=x^5+2,g(x)=x+2 area

f (x) = x^{5} + 2, g (x) = x + 2

derivative of y=e^xln(x)derivative of

y = e^{x} ln (x)

(\partial)/(\partial x)(20-2x+1.5-y+3a)

\frac{\partial}{\partial x} (20 - 2 x + 1.5 - y + 3 a)

Frequently Asked Questions (FAQ)

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