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Popular >

derivative of sqrt(x^2-10x+4)

Solution

derivative of

x^{2} - 10 x + 4

Solution

\frac{x - 5}{x ^{2} - 10 x + 4}

Solution steps

\frac{d}{d x} (x^{2} - 10 x + 4)

Apply the chain rule:

\frac{1}{2 x ^{2} - 10 x + 4} \frac{d}{d x} (x^{2} - 10 x + 4)

= \frac{1}{2 x ^{2} - 10 x + 4} \frac{d}{d x} (x^{2} - 10 x + 4)

\frac{d}{d x} (x^{2} - 10 x + 4) = 2 x - 10

= \frac{1}{2 x ^{2} - 10 x + 4} (2 x - 10)

Simplify

\frac{1}{2 x ^{2} - 10 x + 4} (2 x - 10) : \frac{x - 5}{x ^{2} - 10 x + 4}

= \frac{x - 5}{x ^{2} - 10 x + 4}

Popular Examples

(\partial)/(\partial y)(1/(x+2y))

\frac{\partial}{\partial y} (\frac{1}{x + 2 y})

integral from-2 to-1 of xf(x^2+1)

\int_{- 2}^{- 1} x f (x^{2} + 1) d x

derivative of f(x)= x/((x-1)^2)derivative of

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

\frac{d}{d t} (ln (2 t))

integral from 0 to 1 of 1/(sqrt(x^3))

\int_{0}^{1} \frac{1}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2-10x+4) ?
The derivative of sqrt(x^2-10x+4) is (x-5)/(sqrt(x^2-10x+4))
What is the first derivative of sqrt(x^2-10x+4) ?
The first derivative of sqrt(x^2-10x+4) is (x-5)/(sqrt(x^2-10x+4))