a)
b) "v=V_0\\times e^{\\frac{-t}{\\tau}}" ;
1) "\\frac{\\partial v}{\\partial V_0}= e^{\\frac{-t}{\\tau}}" ;
2)"\\frac{\\partial v}{\\partial t}= -\\frac{V_0}{\\tau}\\times e^{\\frac{-t}{\\tau}}" ;
3) "\\frac{\\partial v}{\\partial t}= -V_0\\times t \\times e^{\\frac{-t}{\\tau}}" ;
c) "v^{\\prime}=-6\\times e^{-\\frac{t}{2}}"
"v^{\\prime}(2)=-2.21" ;
"v^{\\prime}(4)=-0.81" ;
d) Derivative equal to the gradient from t
e) "v=\\frac{V_0}{\\tau^2}\\times e^{-\\frac{t}{\\tau}}"
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