What is the derivative of x/(x^2+121) ?

The derivative of x/(x^2+121) is (-x^2+121)/((x^2+121)^2)

What is the first derivative of x/(x^2+121) ?

The first derivative of x/(x^2+121) is (-x^2+121)/((x^2+121)^2)

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derivative of

\frac{x}{x ^{2} + 121}

\frac{- x ^{2} + 121}{( x ^{2} + 121 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{x ^{2} + 121})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d x}{d x} ( x ^{2} + 121 ) - \frac{d}{d x} ( x ^{2} + 121 ) x}{( x ^{2} + 121 ) ^{2}}

\frac{d x}{d x} = 1

\frac{d}{d x} (x^{2} + 121) = 2 x

= \frac{1 \cdot ( x ^{2} + 121 ) - 2 xx}{( x ^{2} + 121 ) ^{2}}

1 \cdot (x^{2} + 121) - 2 xx = - x^{2} + 121

= \frac{- x ^{2} + 121}{( x ^{2} + 121 ) ^{2}}

\frac{d}{d x} (2^{(5 x - 3 x^{2})})

(1, - 1), (- 1, - 2)

\int_{0}^{1} x e^{- x^{2}} d x

\int - \frac{1}{1 + x ^{2}} d x

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

What is the derivative of x/(x^2+121) ?
The derivative of x/(x^2+121) is (-x^2+121)/((x^2+121)^2)
What is the first derivative of x/(x^2+121) ?
The first derivative of x/(x^2+121) is (-x^2+121)/((x^2+121)^2)