What is the derivative of (2x^2+1/(x^2+7)) ?

The derivative of (2x^2+1/(x^2+7)) is (26x)/((x^2+7)^2)

What is the first derivative of (2x^2+1/(x^2+7)) ?

The first derivative of (2x^2+1/(x^2+7)) is (26x)/((x^2+7)^2)

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\frac{d}{d x} (\frac{2 x ^{2} + 1}{x ^{2} + 7})

\frac{26 x}{( x ^{2} + 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{2 x ^{2} + 1}{x ^{2} + 7})

Apply the Quotient Rule:

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

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

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

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

= \frac{4 x ( x ^{2} + 7 ) - 2 x ( 2 x ^{2} + 1 )}{( x ^{2} + 7 ) ^{2}}

Expand

4 x (x^{2} + 7) - 2 x (2 x^{2} + 1) : 26 x

= \frac{26 x}{( x ^{2} + 7 ) ^{2}}

\frac{d}{d x} (sin (cos (2 x)))

n = 1 \sum \infty \frac{1}{5 ^{n - 1}}

\frac{\partial}{\partial x} (cos (y - x))

x \to - 2 lim (7 x + 12)

\int \frac{ln ( 17 x )}{x} d x

What is the derivative of (2x^2+1/(x^2+7)) ?
The derivative of (2x^2+1/(x^2+7)) is (26x)/((x^2+7)^2)
What is the first derivative of (2x^2+1/(x^2+7)) ?
The first derivative of (2x^2+1/(x^2+7)) is (26x)/((x^2+7)^2)