What is (d^3)/(dx^3)(e^xcos(x)) ?

The answer to (d^3)/(dx^3)(e^xcos(x)) is -2(e^xsin(x)+cos(x)e^x)

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(d^3)/(dx^3)(e^xcos(x))

\frac{d ^{3}}{d x ^{3}} (e^{x} cos (x))

- 2 (e^{x} sin (x) + cos (x) e^{x})

Solution steps

\frac{d ^{3}}{d x ^{3}} (e^{x} cos (x))

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

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

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

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

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

= - 2 (e^{x} sin (x) + cos (x) e^{x})

\int 9 (ln (x))^{2} d x

\int (1 + cos (x))^{2} d x

\frac{\partial}{\partial x} (cos (2 x) sin (3 y))

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 1

\frac{d ^{2} y}{d x ^{2}} = 4 x cos (x^{2})

What is (d^3)/(dx^3)(e^xcos(x)) ?
The answer to (d^3)/(dx^3)(e^xcos(x)) is -2(e^xsin(x)+cos(x)e^x)