derivada en un punto

x sen. 5 x3 xf. 2 ⋅−. = Derivada de un producto: ( ). ( ) xcos. 5 x3x sen x6xf. 2 ⋅−. +. ⋅. =′. Se particulariza para x = 0: ( ). (. ) ( ). 5. 15. 00cos. 5. 030 sen. 060f. 2.
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(

)

f (x ) = 3x 2 − 5 ⋅ sen x

Derivada de un producto:

(

)

f ′(x ) = 6 x ⋅ sen x + 3x 2 − 5 ⋅ cos x

Se particulariza para x = 0:

(

)

f ′(0 ) = 6 ⋅ 0 ⋅ sen 0 + 3 ⋅ 0 2 − 5 ⋅ cos 0 = 0 + (− 5) ⋅ 1 = −5