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人気のある微分積分 >

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

解

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

解

sin (x) + cos (x)

解答ステップ

\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)

人気の例

integral of 6/(x(x+2))

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

limit as x approaches 3+of (|x-2|)/(x-2)

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

(\partial)/(\partial x)(sqrt(56x^2-8y^2-16x-31)+1-8x)

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

f (x) = 1 + x

integral of 1/(x^{1+c)}

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