Find the first derivative f' and the original function f. f"(x) = x³ – 18x, f' (1) = 0, ƒ(1) = 8 (Use symbolic notation and fractions where needed.) 35 f'(x) = 4 9x3 41 35x f(x) = %3D 20 3. 4 20

Q: 7. If f(t) = /2t² +1, find f"(2).

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A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

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A: The function is given by gx = 6x2+11tanx To evaluate: The expression of g'x

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A: We are given,

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Q: 44. Find f(x) if f(x) = 1/(2 - x).

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Q: f(x) = C

A: Here we apply quotient rule of differentiation given as ddxuv =vdudx-udvdxv²

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Q: 3 Let f(x) = (x³ + 4x + 7)³. Compute each of the following. f'(x) = ƒ'( − 2) =

A: given  f(x)=(x3+4x+7)3  we know  d(xn)dx=nxn-1d dx(constant)=0

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Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

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Q: When doing composite functions, if I have a problem that says f(x)=x/x-5 and g(x)=-3/x/ How do I…

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