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Popular >

derivative of sqrt(x^3-8)

Solution

\frac{d}{d x} (x^{3} - 8)

Solution

\frac{3 x ^{2}}{2 x ^{3} - 8}

Solution steps

\frac{d}{d x} (x^{3} - 8)

Apply the chain rule:

\frac{1}{2 x ^{3} - 8} \frac{d}{d x} (x^{3} - 8)

= \frac{1}{2 x ^{3} - 8} \frac{d}{d x} (x^{3} - 8)

\frac{d}{d x} (x^{3} - 8) = 3 x^{2}

= \frac{1}{2 x ^{3} - 8} \cdot 3 x^{2}

Simplify

\frac{1}{2 x ^{3} - 8} \cdot 3 x^{2} : \frac{3 x ^{2}}{2 x ^{3} - 8}

= \frac{3 x ^{2}}{2 x ^{3} - 8}

Popular Examples

y^'+2y=25sin(x)+40cos(x),y(0)=1

y^{^{'}} + 2 y = 25 sin (x) + 40 cos (x), y (0) = 1

tangent of y=sqrt(x),(9,3)tangent of

y = x, (9, 3)

sum from n=6 to infinity of (5^n)/(12^n)

n = 6 \sum \infty \frac{5 ^{n}}{1 2 ^{n}}

3y^{''}+17y^'-6y=0

3 y^{^{''}} + 17 y^{^{'}} - 6 y = 0

derivative of 1/(x^4+1/(x^2)-x^3)

\frac{d}{d x} (\frac{1}{x ^{4}} + \frac{1}{x ^{2}} - x^{3})

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^3-8) ?
The derivative of sqrt(x^3-8) is (3x^2)/(2sqrt(x^3-8))
What is the first derivative of sqrt(x^3-8) ?
The first derivative of sqrt(x^3-8) is (3x^2)/(2sqrt(x^3-8))