What is the derivative of sqrt(5x^6-12) ?

The derivative of sqrt(5x^6-12) is (15x^5)/(sqrt(5x^6-12))

What is the first derivative of sqrt(5x^6-12) ?

The first derivative of sqrt(5x^6-12) is (15x^5)/(sqrt(5x^6-12))

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\frac{d}{d x} (5 x^{6} - 12)

\frac{15 x ^{5}}{5 x ^{6} - 12}

Solution steps

\frac{d}{d x} (5 x^{6} - 12)

Apply the chain rule:

\frac{1}{2 5 x ^{6} - 12} \frac{d}{d x} (5 x^{6} - 12)

= \frac{1}{2 5 x ^{6} - 12} \frac{d}{d x} (5 x^{6} - 12)

\frac{d}{d x} (5 x^{6} - 12) = 30 x^{5}

= \frac{1}{2 5 x ^{6} - 12} \cdot 30 x^{5}

Simplify

\frac{1}{2 5 x ^{6} - 12} \cdot 30 x^{5} : \frac{15 x ^{5}}{5 x ^{6} - 12}

= \frac{15 x ^{5}}{5 x ^{6} - 12}

\int e^{5 x} cos (8 x) d x

\int_{\frac{11 π}{2}}^{6 π} 9 sin (x) d x

y^{^{'}} = (1 - y) cos (x)

\int \frac{y}{x} d x

y = (x^{3} - 16 x)^{8}, (- 4, 0)

What is the derivative of sqrt(5x^6-12) ?
The derivative of sqrt(5x^6-12) is (15x^5)/(sqrt(5x^6-12))
What is the first derivative of sqrt(5x^6-12) ?
The first derivative of sqrt(5x^6-12) is (15x^5)/(sqrt(5x^6-12))