derivative f(x)=e^x-x^3

פתרון

derivative of

f (x) = e^{x} - x^{3}

e^{x} - 3 x^{2}

צעדי פתרון

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

(f \pm g)^{'} = f^{'} \pm g^{'}

:השתמש בחוק החיבור

= \frac{d}{d x} (e^{x}) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (e^{x}) = e^{x}

\frac{d}{d x} (x^{3}) = 3 x^{2}

= e^{x} - 3 x^{2}

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y (1) = 0, y^{^{'}} (1) = - 1

y^{^{'}} = \frac{( x - y )}{( x + 2 y )}, y (0) = 1

\frac{d}{d x} (lo g_{e} (cos (4 x)))

\int x ln (x^{5}) d x

\int_{0}^{\frac{π}{4}} x sin (2 x) d x