What is the derivative of y=sqrt(6x^3+11) ?

The derivative of y=sqrt(6x^3+11) is (9x^2)/(sqrt(6x^3+11))

What is the first derivative of y=sqrt(6x^3+11) ?

The first derivative of y=sqrt(6x^3+11) is (9x^2)/(sqrt(6x^3+11))

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derivative of

y = 6 x^{3} + 11

\frac{9 x ^{2}}{6 x ^{3} + 11}

Solution steps

\frac{d}{d x} (6 x^{3} + 11)

Apply the chain rule:

\frac{1}{2 6 x ^{3} + 11} \frac{d}{d x} (6 x^{3} + 11)

= \frac{1}{2 6 x ^{3} + 11} \frac{d}{d x} (6 x^{3} + 11)

\frac{d}{d x} (6 x^{3} + 11) = 18 x^{2}

= \frac{1}{2 6 x ^{3} + 11} \cdot 18 x^{2}

Simplify

\frac{1}{2 6 x ^{3} + 11} \cdot 18 x^{2} : \frac{9 x ^{2}}{6 x ^{3} + 11}

= \frac{9 x ^{2}}{6 x ^{3} + 11}

n = 2 \sum \infty (- 0.875)^{n}

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\int_{- \infty}^{0} e^{x} d x

What is the derivative of y=sqrt(6x^3+11) ?
The derivative of y=sqrt(6x^3+11) is (9x^2)/(sqrt(6x^3+11))
What is the first derivative of y=sqrt(6x^3+11) ?
The first derivative of y=sqrt(6x^3+11) is (9x^2)/(sqrt(6x^3+11))