What is (d^3)/(dx^3)(cos(x)-sin(x)) ?

The answer to (d^3)/(dx^3)(cos(x)-sin(x)) is sin(x)+cos(x)

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(d^3)/(dx^3)(cos(x)-sin(x))

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

sin (x) + cos (x)

Solution steps

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

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

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

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

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

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

= sin (x) + cos (x)

\int \frac{6}{x ( x + 2 )} d x

x \to 3 + lim (\frac{∣ x - 2 ∣}{x - 2})

\frac{\partial}{\partial x} (56 x^{2} - 8 y^{2} - 16 x - 31 + 1 - 8 x)

f (x) = 1 + x

\int \frac{1}{x ^{1 + c}} d x

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