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Popular Calculus >

(d^3)/(dx^3)((x^2-1)^3)

Solution

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

Solution

6 (20 x^{3} - 12 x)

Solution steps

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

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

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

\frac{d}{d x} (6 x (x^{2} - 1)^{2}) = 6 (5 x^{4} - 6 x^{2} + 1)

= \frac{d}{d x} (6 (5 x^{4} - 6 x^{2} + 1))

\frac{d}{d x} (6 (5 x^{4} - 6 x^{2} + 1)) = 6 (20 x^{3} - 12 x)

= 6 (20 x^{3} - 12 x)

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Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)((x^2-1)^3) ?
The answer to (d^3)/(dx^3)((x^2-1)^3) is 6(20x^3-12x)