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Popular Calculus >

(d^3)/(dx^3)(x(2x-5)^3)

Solution

\frac{d ^{3}}{d x ^{3}} (x (2 x - 5)^{3})

Solution

192 x - 360

Solution steps

\frac{d ^{3}}{d x ^{3}} (x (2 x - 5)^{3})

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

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

\frac{d}{d x} ((2 x - 5)^{3} + 6 x (2 x - 5)^{2}) = 96 x^{2} - 360 x + 300

= \frac{d}{d x} (96 x^{2} - 360 x + 300)

\frac{d}{d x} (96 x^{2} - 360 x + 300) = 192 x - 360

= 192 x - 360

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Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(x(2x-5)^3) ?
The answer to (d^3)/(dx^3)(x(2x-5)^3) is 192x-360