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Beliebt Rechnen >

(d^2)/(dx^2)(e^{cos(x)})

Lösung

\frac{d ^{2}}{d x ^{2}} (e^{c o s (x)})

Lösung

e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x)

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (e^{c o s (x)})

\frac{d}{d x} (e^{c o s (x)}) = - e^{c o s (x)} sin (x)

= \frac{d}{d x} (- e^{c o s (x)} sin (x))

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

= e^{c o s (x)} sin^{2} (x) - e^{c o s (x)} cos (x)

Beliebte Beispiele

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

\int - \frac{1}{1 + 9 x ^{2}} d x

integral of (2x+2)^{-1}

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

integral of-5x^2sin(pix)

\int - 5 x^{2} sin (π x) d x

derivative 1/((x^2-1)(x^2+5x+5))

d er i v a t i v e \frac{1}{( x ^{2} - 1 ) ( x ^{2} + 5 x + 5 )}

integral from 0 to 1 of (e^{2x}-e^{-x})

\int_{0}^{1} (e^{2 x} - e^{- x}) d x