What is the derivative of sqrt((x^3+14x-7/7)) ?

The derivative of sqrt((x^3+14x-7/7)) is (3x^2+14)/(2sqrt(7)\sqrt{x^3+14x-7)}

What is the first derivative of sqrt((x^3+14x-7/7)) ?

The first derivative of sqrt((x^3+14x-7/7)) is (3x^2+14)/(2sqrt(7)\sqrt{x^3+14x-7)}

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\frac{d}{d x} (\frac{x ^{3} + 14 x - 7}{7})

\frac{3 x ^{2} + 14}{2 7 x ^{3} + 14 x - 7}

Solution steps

\frac{d}{d x} (\frac{x ^{3} + 14 x - 7}{7})

Apply the chain rule:

\frac{1}{2 \frac{x ^{3} + 14 x - 7}{7}} \frac{d}{d x} (\frac{x ^{3} + 14 x - 7}{7})

= \frac{1}{2 \frac{x ^{3} + 14 x - 7}{7}} \frac{d}{d x} (\frac{x ^{3} + 14 x - 7}{7})

\frac{d}{d x} (\frac{x ^{3} + 14 x - 7}{7}) = \frac{1}{7} (3 x^{2} + 14)

= \frac{1}{2 \frac{x ^{3} + 14 x - 7}{7}} \cdot \frac{1}{7} (3 x^{2} + 14)

Simplify

\frac{1}{2 \frac{x ^{3} + 14 x - 7}{7}} \cdot \frac{1}{7} (3 x^{2} + 14) : \frac{3 x ^{2} + 14}{2 7 x ^{3} + 14 x - 7}

= \frac{3 x ^{2} + 14}{2 7 x ^{3} + 14 x - 7}

\int \frac{ln ( x ^{21} )}{x} d x

\int_{- 2}^{1} (2 x + π) d x

\int \frac{2 + x}{x ^{3}} d x

n = 1 \sum \infty n^{3} e^{- n}

\frac{d}{d x} (\frac{- 1 - x}{( x - 1 ) ^{3}})

What is the derivative of sqrt((x^3+14x-7/7)) ?
The derivative of sqrt((x^3+14x-7/7)) is (3x^2+14)/(2sqrt(7)\sqrt{x^3+14x-7)}
What is the first derivative of sqrt((x^3+14x-7/7)) ?
The first derivative of sqrt((x^3+14x-7/7)) is (3x^2+14)/(2sqrt(7)\sqrt{x^3+14x-7)}