Asume that a function Fis defined by F(z)- 21+ 2 r. Then. F'(2) is given by (A) F(2)-4V3 (B) F(2)- (C) F'(2)= 4 D) F(2) = Sv %3D E) F'(2) F) F'(2) = SV3 OF OD DE OB DA

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Q: v=(*++1)(r+2) 11. (u)=(1+ \u)(u-u°)

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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Q: Q-1Find the derivatives of the functions 1- Y+In (xy) =1 2. Inxf 9.

A: Note:- Derivative of the product of two functions is ddx fx·gx  =f'x·gx+fx·g'x   Part (1):-  Given…

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A: Take z= X+iY and proceed

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Q: Let f(y) = ⌊y⌋. Find a) f^-1({0}). b) f^−1({−1, 0, 1}). c) f^−1({y | 0 <y< 1}).

A: The given function f(y) is floor function:   The floor function is defined as: fy: The greatest…

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Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: 5. Use the graph of ƒ '(x) shown and the fact that f(2) = 14 to find the value of f(12). f’(x) 8 3…

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A: The given functions are; f(x)=5/(x+6), g(x)=3/4x

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Q: Given f(x) = 18 - 9x^3 Evaluate the two bellow

A: Known fact: For any invertible function, it is true that f∘f-1x=f-1∘fx=x for all x.

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A: Given:- Let Fuu,v=Gu,v and Fvu,v=Hu,v

Q: 7. Show that if f is a function of r only, then 0²ƒ(r) = f'(r) + ²ƒ'(r)

A: The given data is: Show that if f is a function of r only, then ∇2fr=f''r+2rf'r

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Q: Let f be the function S(2) = 6- -4+ 8.-5. Calculate the first, second, and third derivatives of .…

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