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Gitt en funksjon $f(x,y)=x^{\\var{a}}-y^{\\var{b}}$ og $\\textbf{x}(t)=(\\var{c}t+1,\\var{d}t-2)$.

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Finn et uttrykk for den sammensatte funksjonen $(f\\circ\\textbf{x})(t)=$ [[0]]

Finn den deriverte $\\dfrac{df}{dt}=$ [[1]]

Ta utgangspunkt i kjerneregelen

$\\dfrac{df}{dt}=\\dfrac{\\partial f}{\\partial x}(\\textbf{x})\\cdot\\dfrac{dx}{dt}+\\dfrac{\\partial f}{\\partial y}(\\textbf{x})\\cdot\\dfrac{dy}{dt}$

og finn $\\dfrac{df}{dt}$ på ny. Fyll inn i de åpne feltene

$\\dfrac{df}{dt}=$ [[0]]$\\cdot$ [[1]] $+$ [[2]] $\\cdot$ [[3]]

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