What is the derivative of (x^2)/(x+7) ?

The derivative of (x^2)/(x+7) is (x^2+14x)/((x+7)^2)

What is the first derivative of (x^2)/(x+7) ?

The first derivative of (x^2)/(x+7) is (x^2+14x)/((x+7)^2)

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derivative of

\frac{x ^{2}}{x + 7}

\frac{x ^{2} + 14 x}{( x + 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{x + 7})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( x ^{2} ) ( x + 7 ) - \frac{d}{d x} ( x + 7 ) x ^{2}}{( x + 7 ) ^{2}}

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

\frac{d}{d x} (x + 7) = 1

= \frac{2 x ( x + 7 ) - 1 \cdot x ^{2}}{( x + 7 ) ^{2}}

Simplify

\frac{2 x ( x + 7 ) - 1 \cdot x ^{2}}{( x + 7 ) ^{2}} : \frac{x ^{2} + 14 x}{( x + 7 ) ^{2}}

= \frac{x ^{2} + 14 x}{( x + 7 ) ^{2}}

49 y^{^{''}} - 16 y = 0

\frac{3 ^{2}}{( s + 3 ) ^{2}}

\int 1 + cos (t) d t

y = 2 x^{3}, (- 1, - 2)

What is the derivative of (x^2)/(x+7) ?
The derivative of (x^2)/(x+7) is (x^2+14x)/((x+7)^2)
What is the first derivative of (x^2)/(x+7) ?
The first derivative of (x^2)/(x+7) is (x^2+14x)/((x+7)^2)