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Popular >

derivative of sqrt(12x-x^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

integral of 6sin^5(x)cos(x)

\int 6 sin^{5} (x) cos (x) d x

derivative of 3/4 x^{4/3}-3/8 x^{2/3}+8

\frac{d}{d x} (\frac{3}{4} x^{\frac{4}{3}} - \frac{3}{8} x^{\frac{2}{3}} + 8)

derivative of x^4-3x^2+4

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

integral of x(x-1)(x-2)

\int x (x - 1) (x - 2) d x

derivative of y=(2x^2-3)^2 derivative of

y = (2 x^{2} - 3)^{2}

Frequently Asked Questions (FAQ)

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