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A basic introduction to differentiation

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Calcular la primer y segunda derivada de cada una de las funciones.

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\$\\simplify[basic,zeroterm,zerofactor,unitfactor]{{ac[0]}x^5+{bc[0]}x^4+{cc[0]}x^3+{dc[0]}x^2+{ec[0]}x+{fc[0]}}\$

\n

\$f'(x)=\$[[0]]\$x^4+\$[[1]]\$x^3+\$[[2]]\$x^2+\$[[3]]\$x+\$[[4]]

\n

\$f''(x)=\$[[5]]\$x^3+\$[[6]]\$x^2+\$[[7]]\$x+\$[[8]]

\$\\simplify[basic,zeroterm,zerofactor,unitfactor]{{ac[1]}x^{ap}+{bc[1]}x^{bp}+{cc[1]}x^{cp}+{dc[1]}x^{dp}+{ec[1]}x+{fc[1]}}\$

\n

\$f'(x)=\$ [[0]]

\n

\$f''(x)=\$ [[1]]

\n

`Ejemplo de respuesta: si la respuesta es` \$-7x^5+7x^3-8x\$, `digite -7x^5+7x^3-8x en la barra de respuesta.`

\$\\simplify[basic,zeroterm,zerofactor,unitfactor]{{ac[2]}x^{ap}+{bc[2]}x^{bp}+{cc[2]}x^{cp}+{dc[2]}x^{dp}+{ec[2]}x+{fc[2]}}\$

\n

\$f'(x)=\$ [[0]]

\n

\$f''(x)=\$ [[1]]