The critical points of the function f(x) = 9x² – 2xª occur at %3D O x = 0, x = ±0.75 O z = 0, x = ±1.20 I = 0, x = ±2.00 O r = 0, x =±1.50 O T = 0, x = +6.00

Q: If F(x) = f(g(x)), where f( – 4) = 9, f'(– 4) = 6, ƒ' (2) = 1, g(2) = – 4, and g'(2) = 8, find…

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Q: Verify that g'(x) 1 where g(x) = v2x – 3. %3D V2r – 3

A: Giveng(x)=2x-3.To verify g'(x)=12x-3  is the derivative of g(x).

Q: The function f(x) = 3x³ + cos(3ræ) + 2x , x > 1 is known to be a strictly increasing function on its…

A: Given f(x) = 3x3 + cos(3πx) + 2x,  x≥1   ⇒ f'(x) = 9x2 - 3πsin(3πx) + 2

Q: Suppose that the first derivative of f(x) = is approximated by the following formula %3D 3x+4 -2f(x…

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Q: 1. For what value of the number k does the function f(x) = (1 + kr + ²)e have f'(0) = 57 (A) 0 (B) 2…

A: f(x)=

Q: Find f"(x) for the functions x² +5x f(x) = ex b. f(x) = (x² – 1)e* a.

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Q: Differentiate the given function: g(x) = sec¯ ec- (x²) ...

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Q: 3 Find f(x) if f'(x) = and f = 1. %3D O A. -4 X- +13 4* B. -4 X- -4+C OC. -4 OD. х + 13 4/5

A: Given,

Q: QI: Find the area between x =2y2 + 3 and x = y2. %3D

A: x=-2y2+3x = y2

Q: After the function f (z) was carefully differentiated, the function f'(z) = 5- In(2) - 2 resulted.…

A:

Q: Let k(x) = (4x2)g(x)h(x). Given the following table of values, find k'(1). %3D -1 0 1 3 h(x) 1 -3 0.…

A: Use the table and chain rule to differentiate the function.

Q: The function f (x) = 4 a - x has a horizontal tangent to its graph when x-1/16 O x-1/2 O x =4 Ox-2…

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Q: 8) A rational function has a HA at y = 2, an x -int of a VA at x = -4 and a y-int of - 3 Determine…

A: Given that the VA is x=-4, this means the denominator has a factor= (x+4) Given that the x-int is…

Q: Differentiate the function. (a) f(x) = x5/3 – x²/3 %3| - (b) g(x) = V+x x2 (c) h(x) = 2-tan x

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Q: The second derivative for the following function at x = 2 f(x) = V2x + is O 1 O 1/4 O 1/2 3/4

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Q: The undergraduate population at a recently-founded liberal arts college is growing according to the…

A: We have to select the true option.

Q: If f(x) = x², x ≥ 0, then Find either the exact value, or give a 4 decimal place approximation to

A: Solution-Given function,f(x)=y=x2we have to find value of f-1(7).

Q: 1. For what value of the number k does the function f(x) = (1 + kr + 2)e have f'(0) = 57 (A) 0 (B) 2…

A: given function is

Q: Let ø be a C' function, and suppose 00 $(x) = >, b,Un(x)., ø"(x) = ), cnUn(x). %3D n=1 =1 Express…

A: Here in the question it is give that ϕ is a C1 function .  Consider the given function as follow:…

Q: Suppose that f'(x) = 3x² + 3 – 1 and f(1) = 3. Find a formula for f(x) and then %3D %3D use this…

A: Topic- integration

Q: Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the…

A: From the given information, F(x)=0      if x<0x225 if 0<=x<51     if x>=5   g) Consider,…

Q: Suppose that ()=-6 and ()-4, and let g(x) f(x) sin cos x and h(x) = Answer the following questions.…

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Q: 7 + Vx + x dx

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Q: Differentiate the given function: f(x) = In(2r³ – 5æ) 6x² – 5 A f'(x) = 2x3 – 5x 1 ® f'(x) = 2x3 –…

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