What is the derivative of sqrt(-x^2+12x-32) ?

The derivative of sqrt(-x^2+12x-32) is (-x+6)/(sqrt(-x^2+12x-32))

What is the first derivative of sqrt(-x^2+12x-32) ?

The first derivative of sqrt(-x^2+12x-32) is (-x+6)/(sqrt(-x^2+12x-32))

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derivative of

- x^{2} + 12 x - 32

\frac{- x + 6}{- x ^{2} + 12 x - 32}

Solution steps

\frac{d}{d x} (- x^{2} + 12 x - 32)

Apply the chain rule:

\frac{1}{2 - x ^{2} + 12 x - 32} \frac{d}{d x} (- x^{2} + 12 x - 32)

= \frac{1}{2 - x ^{2} + 12 x - 32} \frac{d}{d x} (- x^{2} + 12 x - 32)

\frac{d}{d x} (- x^{2} + 12 x - 32) = - 2 x + 12

= \frac{1}{2 - x ^{2} + 12 x - 32} (- 2 x + 12)

Simplify

\frac{1}{2 - x ^{2} + 12 x - 32} (- 2 x + 12) : \frac{- x + 6}{- x ^{2} + 12 x - 32}

= \frac{- x + 6}{- x ^{2} + 12 x - 32}

x \to - 2 lim (∣ x - 2 ∣)

\int (4) d x

\frac{d}{d x} \frac{( x ^{2} - 4 ) ^{\frac{3}{2}}}{6}

n = 0 \sum \infty π

x \to \infty lim (1 - \frac{5}{x})

What is the derivative of sqrt(-x^2+12x-32) ?
The derivative of sqrt(-x^2+12x-32) is (-x+6)/(sqrt(-x^2+12x-32))
What is the first derivative of sqrt(-x^2+12x-32) ?
The first derivative of sqrt(-x^2+12x-32) is (-x+6)/(sqrt(-x^2+12x-32))