1MA 09. DERIVADES/1MA.09.1 DerivadaRectaTgNormal
1MA.09.1.13Q Definició de derivada (recta tangent)
Considera la funció f(x)=#funció.
Calcula la recta tangent que passa pel punt x =#a.
Nota: si la tangent t(x)=Cx+D has d'introduir estrictament
Cx+D
]]>
Recorda que si tens una funció f(x) i un punt x=a,
- la recta secant que passa pels punts x=a i x=a+h és «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»y«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»=«/mo»«mfrac mathcolor=¨#0000FF¨»«mrow»«mi mathvariant=¨bold¨»f«/mi»«mo mathvariant=¨bold¨»(«/mo»«mi mathvariant=¨bold¨»a«/mi»«mo mathvariant=¨bold¨»+«/mo»«mi mathvariant=¨bold¨»h«/mi»«mo mathvariant=¨bold¨»)«/mo»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»f«/mi»«mo mathvariant=¨bold¨»(«/mo»«mi mathvariant=¨bold¨»a«/mi»«mo mathvariant=¨bold¨»)«/mo»«/mrow»«mi mathvariant=¨bold¨»h«/mi»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»(«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»x«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»-«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»a«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»)«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»+«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»f«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»(«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»a«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»)«/mo»«/mrow»«/mstyle»«/math»
- la recta tangent en el punt x=a és y=f'(a)(x-a)+f(a).]]>
1.0000000
0.1000000
0
0
#L
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#L
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