Find f'(x) and f'(c). Function f(x) = (x³ + 4x)(7x² + 5x − 6) f'(x) = f'(c) = Value of c C = 0 (x³ + 4x) (14x + 5) + (7x² + 5x − 6 ) (3x² + 4) (c³ + 4c) (14c + 5) + (7c² +5-6) (3c² + 4) X

Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

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Q: For g (x) 2x^2+ 7x and h(x) = 4x - 1, g(h(x)) = x^2+= x+=

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Q: g(x) = 3x^2-2x h(x) = 3x + 3 Find (4g-2h)(1)

A: We have to find 4g-2h1 when g(x)=3x2-2xh(x)=3x+3 Here, gx=3x2-2x4gx=43x2-2x=12x2-8x and,…

Q: Which function pair was used to create f( g (x) ) = (2x)^2−4 ? a) f(x)= −4 ; g(x)= 2x^2 b) f(x)=…

A: In option d), it is given that, fx=x2-4 and gx=2x Thus, the composite function fgx is given by,…

Q: P(X)=x^(3)-4x^(2)-8,P(2)

A: given that  p(x) = x3-4x2-8 then  P(2)=?

Q: Differentiate ибілен product pale

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Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: f(x)= 2x^2 -5x+4 f(x+3)=

A: Substitute x+3 in place of x in the given equation. f(x+3)=2(x+3)2-5(x+3)+4

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: if f(x)=x2-4  f(square root of x+4)

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Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: f (x) = 7x^2 - (3 x) + 1 and g(x) = 8 x - 2 Find f (1) = and g(- 1) =

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Q: Let f(x) = 4x - 2 and g(x) = x2 Then (f o g)(x) 3x + 4. (go f)(x)

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Q: G(7/2)=2(7/2)^2+6 function of g(x)=2(x)^2+6 where G(x) is 7/

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Q: If f(x)=x^2−2 and h(x)=4x+5, then f(h(3))=       7     15     119     287     33

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Q: Consider f(x) = 8x +3, g(x) = x³. fog= 2x^3+3 %3D go f = (2x+3)^3 f(x) = Vx² + 5, g(x) = x² + 6.…

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Q: With f(z) = 5z² – 7z – 2, find the following: a) f(2) b) f(1) + f(0) c) f(r+h) – f(r - h)

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