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Popular >

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

Solution

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

Solution

\frac{2 x - 1}{2 x ^{2} - x + 4}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{2 x - 1}{2 x ^{2} - x + 4}

Popular Examples

integral of (e^x)/(e^x+5)

\int \frac{e ^{x}}{e ^{x} + 5} d x

f(x)=arccot(sqrt(x))

f (x) = arccot (x)

integral of x^{13}cos(x^7)

\int x^{13} cos (x^{7}) d x

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

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

(\partial)/(\partial y)(2x^2-x^4+y^2)

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

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2-x+4) ?
The derivative of sqrt(x^2-x+4) is (2x-1)/(2sqrt(x^2-x+4))
What is the first derivative of sqrt(x^2-x+4) ?
The first derivative of sqrt(x^2-x+4) is (2x-1)/(2sqrt(x^2-x+4))