Project ID:
5000000063
Accepted:
Template:
Question:
\footnotesize Vyberte správne derivácie výrazov.
Question Row 1:
$\left(3x^4-8x^3+5\pi\right)'$
Answer Row 1:
$12x^3-24x^2+5$, *$12x^3-24x^2$, $12x^3-24x^2+5\pi$, $12x^3-24x^2+5\pi x$
Question Row 2:
$\left(4x^{-2}+3\ln x\right)'$
Answer Row 2:
$-\frac8{x^3}+\frac1x$, $\frac8{x^3}+\frac3x$, *$-\frac8{x^3}+\frac3x$, $-\frac5x$
Question Row 3:
$\left(\frac3{x^3}+2\sqrt x\right)'$
Answer Row 3:
$\frac9{x^2}+\frac2{\sqrt x}$, *$-\frac9{x^4}+\frac1{\sqrt x}$, $-\frac9{x^2}+\frac1{\sqrt{x}}$, $\frac1{x^2}+\frac2{\sqrt x}$
Question Row 4:
$\left(\frac23 x^3-3\mathrm{e}^x+3\mathrm{e}\right)'$
Answer Row 4:
$2x^2-3\mathrm{e}^x+3$, $2x^3-3\mathrm{e}^x$, $\frac29x^2-3\mathrm{e}^x+3$, *$2x^2-3\mathrm{e}^x$
Question Row 5:
$\left(5^x+\sin x\right)'$
Answer Row 5:
$5^x+\cos x$, $x5^{x-1}+\cos x$, $5^x\ln 5-\cos x$, *$5^x\ln 5+\cos x$
Question Row 6:
$(2\cos x-\log_2 x)'$
Answer Row 6:
*$-2\sin x-\frac1{x\ln 2}$, $2\sin x-\frac1x$, $-2\sin x-\frac1x$, $2\sin x-\frac{\ln 2}x$
Question Row 7:
$(\mathrm{tg}\,x-\ln 5)'$
Answer Row 7:
$-\frac1{\cos^2 x}-\frac15$, $-\frac1{\sin^2 x}-\frac15$, *$\frac1{\cos^2 x}$, $\frac1{\cos^2 x}-\frac15$
Question Row 8:
$\left(\sqrt[8]x+\,\mathrm{cotg}\,x\right)'$
Answer Row 8:
$\frac1{3\sqrt[3]x}-\frac1{\sin^2 x}$, $\frac1{\sqrt[3]x}-\frac1{\sin^2 x}$, *$\frac1{3\sqrt[3]{x^2}}-\frac1{\sin^2 x}$, $\frac1{3\sqrt[3]x}+\frac1{\cos^2 x}$
Tex:
% tiket 32712
\MsrTabulka[2pt]{0.2\linewidth}{0.75\linewidth}
\pocetsloupcu{4}