3 years ago

Find f′ in terms of g′

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

3 0

9514 1404 393

Answer:

(e) f′(x)=2xg(x)+x²g′(x)

Step-by-step explanation:

The product rule applies.

(uv)' = u'v +uv'

Here, we have u=x² and v=g(x). Then u'=2x and v'=g'(x).

f(x) = x²·g(x)

f'(x) = 2x·g(x) +x²·g'(x)

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