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Popular Calculus >

(d^3)/(dx^3)(xsin(x))

Solution

\frac{d ^{3}}{d x ^{3}} (x sin (x))

Solution

- 3 sin (x) - x cos (x)

Solution steps

\frac{d ^{3}}{d x ^{3}} (x sin (x))

\frac{d}{d x} (x sin (x)) = sin (x) + x cos (x)

= \frac{d ^{2}}{d x ^{2}} (sin (x) + x cos (x))

\frac{d}{d x} (sin (x) + x cos (x)) = 2 cos (x) - x sin (x)

= \frac{d}{d x} (2 cos (x) - x sin (x))

\frac{d}{d x} (2 cos (x) - x sin (x)) = - 3 sin (x) - x cos (x)

= - 3 sin (x) - x cos (x)

Popular Examples

derivative of f(x)=6x^{-1}

(dy)/(dx)=((2y+5)/(8x+9))^2

inverse oflaplace 4/(s^2-9)

integral of 1/(x(x-9)^2)

Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(xsin(x)) ?
The answer to (d^3)/(dx^3)(xsin(x)) is -3sin(x)-xcos(x)