Suppose

g (x) = x^2f (x)

and it is known that f (3) = 5 and f ' (3) = - 2. Evaluate g' (3).

Question

Rylan Pennington

Mathematics

17 January, 23:41

Suppose

g (x) = x^2f (x)

and it is known that f (3) = 5 and f ' (3) = - 2. Evaluate g' (3).

+5

Answers (1)

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Bentley Glass · Answer 1

g' (x) = (x^2) ' (f (x)) + (f' (x)) (x^2)

g' (x) = (2x) (f (x)) + (f' (x)) (x^2)

for g' (3)

g' (3) = (2 (3)) (f (3)) + (f' (3)) (3^2)

g' (3) = (6) (5) + (-2) (9)

g' (3) = 30-18

g' (3) = 12

Supposeg (x) = x^2f (x)and it is known that f (3) = 5 and f ' (3) = - 2. Evaluate g' (3).

Suppose

g (x) = x^2f (x)

and it is known that f (3) = 5 and f ' (3) = - 2. Evaluate g' (3).