ANOTHER EXAMPLE: DERIVATIVE OF A PRODUCT

EXAMPLE: f(x) = g(x)k(x)

limh--> 0 [g(x+ h)(k(x + h) - g(x)k(x)]/h =

limh--> 0 [g(x + h)k(x + h) - g(x)k(x + h)

+g(x)k(x + h) - g(x)k(x)]/h =

k(x + h) limh--> 0[g(x + h)- g(x)]/h

+ g(x) limh--> 0 [(k(x + h) - k(x)]/h =

k(x) dg(x)/dx + g(x)dk(x)/dx

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