Bereken de afgeleide
\( \afg {e^{3x} } = \answer [onlineshowanswerbutton]{ 3e^{3x } }\)
\( \afg {e^{-2x} } = \answer [onlineshowanswerbutton]{ -2e^{-2x} }\)
\( \afg {e^{x^3} } = \answer [onlineshowanswerbutton]{ 3x^2 e^{x^3} }\)
\( \afg {xe^{x^2} } = \answer [onlineshowanswerbutton]{ e^{x^2} (1 + 2x^2) }\)
\( \afg {x^3e^x } = \answer [onlineshowanswerbutton]{ e^x x^2 (3 + x) }\)
\( \afg {e^{3x+5} } = \answer [onlineshowanswerbutton]{ 3e^{3x+5 } }\)
\( \afg {e^x + e^{-x} } = \answer [onlineshowanswerbutton]{ e^x - e^{-x } }\)
\( \afg {e^{\sin (2x)} } = \answer [onlineshowanswerbutton]{ 2\cos (2x) e^{\sin (2x) } }\)
\( \afg {e^{\cos (3x)} } = \answer [onlineshowanswerbutton]{ -3\sin (3x) e^{\cos (3x)} }\)
\( \afg {e^{x^4 + x} } = \answer [onlineshowanswerbutton]{ (4x^3 + 1)e^{x^4 + x } }\)
Bereken de afgeleide
\( \afg { e^x \cdot e^x } =\answer [onlineshowanswerbutton]{ 2e^x e^x } \)
\( \afg { e^{x+e^x} } =\answer [onlineshowanswerbutton]{ (1+e^x) e^{x+e^x } } \)
\( \afg { x e^{x^3} } =\answer [onlineshowanswerbutton]{ e^{x^3} (1+3x^3 ) } \)
\( \afg { e^{x^2 + 4x} } =\answer [onlineshowanswerbutton]{ (2x + 4)e^{x^2 + 4x } } \)
\( \afg { x e^{2x} } =\answer [onlineshowanswerbutton]{ e^{2x} (1+2x ) } \)
\( \afg { e^{\tan x} } =\answer [onlineshowanswerbutton]{ \sec ^2 x \cdot e^{\tan x } } \)
\( \afg { e^{\ln x} } =\answer [onlineshowanswerbutton]{ \frac {1}{x} e^{\ln x } } \)
\( \afg { e^{x^3 + x^2} } =\answer [onlineshowanswerbutton]{ (3x^2 + 2x)e^{x^3 + x^2 } } \)
\( \afg { x^2 e^{x^2} } =\answer [onlineshowanswerbutton]{ e^{x^2} x (2 + x^2 ) } \)
\( \afg { x e^{x+1} } =\answer [onlineshowanswerbutton]{ e^{x+1} (1+x ) } \)
Bereken de afgeleide
\( { e^{\cos ^2 x} } =\answer [onlineshowanswerbutton]{ -2\sin x \cos x e^{\cos ^2 x } } \)
\( { e^{\sin ^2 x} } =\answer [onlineshowanswerbutton]{ 2\sin x \cos x e^{\sin ^2 x } } \)
\( { e^{x+e^x} } =\answer [onlineshowanswerbutton]{ (1+e^x) e^{x+e^x } } \)
\( { x^3 e^{x^2} } =\answer [onlineshowanswerbutton]{ e^{x^2} x^2 (3+2x^2 ) } \)
\( { e^{\tan ^2 x} } =\answer [onlineshowanswerbutton]{ 2\tan x \sec ^2 x e^{\tan ^2 x} } \)
\( { x e^{x^4} } =\answer [onlineshowanswerbutton]{ e^{x^4} (1+4x^4 ) } \)
\( { e^{\ln (x^2)} } =\answer [onlineshowanswerbutton]{ \frac {2}{x} e^{\ln (x^2) } } \)
\( { e^{\cos (x^2)} } =\answer [onlineshowanswerbutton]{ -2x\sin (x^2) e^{\cos (x^2) } } \)
\( { e^{x+e^{x^2}} } =\answer [onlineshowanswerbutton]{ (1+2xe^{x^2}) e^{x+e^{x^2} } } \)
\( { e^{\sin (x^3)} } =\answer [onlineshowanswerbutton]{ 3x^2 \cos (x^3) e^{\sin (x^3) } } \)