If u(x) is a differentiable function, n is any real number, and f(x) = [u(x)]", then. ○ ƒ'(x) = [u(x)]"−¹u' (x) ○ f'(x) = (n − 1)[u(x)]*u'(x) O f'(x) = n[u' (x)] n-¹ u(x) ○ f'(x) = n[u(x)]*¯¹ u'(x) ○ f'(x) = n[u(x)]"-1
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- Let ƒ and g be functions that satisfy ƒ'(2) = 6 and g′(2) = 5. Find h'(2) for each function ʼn given below: (A) h(x) = 4f(x). h'(2) = (B) h(x) = -11g(x). h'(2) = h'(2) = (C) h(x) = 10f(x) + 13g(x). (D) h(x) = 10g(x) - 3f(x). h'(2) = ← ← h'(2) = ← (E) h(x) = 12f(x) + 3g(x) - 6. (F) h(x) = -11g(x) - 11f(x) — 2x.Let f(x) =x' - 7x' +2. Find (f")'(-4) |Let h(x): = f(x) where f(-7)= 4, f'(-7)= 8, g(-7)= -2, and g'(-7) = -2. What is h'(-7)? g(x)' Provide your answer below: h'(-7)=