If f x = x 2 - 16 x - 4 if x 4 2 x if x ≤ 4 then f ' 4 - + f ' 4 + =

Question

If f x = x 2 - 16 x - 4 if x > 4 2 x if x ≤ 4 then f ' 4 - + f ' 4 + =, 1, 2, 3, 4

MARKS App · Accepted Answer

Given, f x = x 2 - 16 x - 4 if x > 4 2 x if x ≤ 4 ⇒ f x = x + 4 if x > 4 2 x if x ≤ 4 Now differentiating with respect to x we get, ⇒ f ' x = 1 if x > 4 2 if x 4 So, f ' 4 - + f ' 4 + = 2 + 1 = 3

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