Given that f(x)× ₂(x)= even function. If (x) is an odd function, therefore the correct f(x) is f(x) = cos(2x)-x о 1₂(x)=2x² - 5x о f₂(x)=4e-² +3sin² (4x) f(x)=3x³-sin (3x) O

Q: If f(x)=2 sin x/1+cos x, then f′(x) =    f′(4) =

A: We have to find

Q: If f(x) = cos(2x) then find II f (t|4)

A: Given query is to find the Indicated derivative.

Q: For (cos(2x) – sin cos(x) – sin(x) - sin(2x) cos (2x)) +C. What is F (x)? A sin cos³ (x) – cos(x)…

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Q: Suppose f(x) is the function such that for a > 0 we have f(x) = (e" – 1) In(x) and for x < 0 we have…

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Q: Let f(æ) = sin(x) and g(æ) = x² . Find (go f)'(x) O 2sin(x)cos(x) O 2xcos(x?) -2æcos(x?) 2xcos(x)

A: Given that f(x)= sinx and g(x)=x2. And we find (g0f)'(x). We know that d(xn)/dx = nxn-1.     Here i…

Q: 3. (a) (10) Let g(x) Find g'(x). Don't try to simplify your answer. In(4.x) – cos(2x)

A: Given function g(x) is differentiate w.r.t x as written below:

Q: If f(x) = cos(3r), then f(77)(x) %3D (A) 37 cos(3æ) (B) 377 sin(3x) (C) –37 cos(3æ) (D) -377 sin(3x)

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Q: If f( x ) = sin (x) – e“ , what is f'(x) ? O f'(x)=- cos(x)-e² — сos(2) —е* O f'(x)=sin (x) –e² O f…

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Q: If f(x) = cos(x) +3z³, what is f'(æ)? O f'(x) = sin(x) +3z³ O f'(x) = sin(x)+ 9x² O f'(x) =…

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Q: Suppose (=/3) = 3 and f '(m/3) = -7, and let g(x) = f(x) sinx and h(x) = (cos x)/(x). Find the…

A: So, Again, if , Then

Q: If g (x) = f (x) sin x, then g' (x) : = f' (x) cos x. True O False

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Q: cos(x) Find g' (x) f(x) and let g (x) :

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Q: If f(x) = 5x(sin x + cos x), find f'(x) = 5 sin(x) + 5 cos(x) + 5x cos(x) - 5x sin(x) To two decimal…

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Q: A solid concrete porch consists of 3 steps and a landing. The steps have a tread of 11 inches, a…

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Q: (a) Let f(x) = (3x – 7) *". Find f2®(x). 49 (b) Let g(x) = cos(9x +2). Find gº" (34) '(x).

A: Consider the part (a): Consider the following function: fx=3x-749…

Q: If V(x)= In[sin(x)- cot(x)], find V'(x). %3D O a. cos(x)- csc-(x) sin(x) + cot(x) O b. cos(x)-…

A: Here we have, V(x)=lnsin(x)-cot(x) We have to find V'(x)=?

Q: If f(x) = x² + cos(x), what is f" (x)?

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Q: Suppose f(pi/3) = 5 and f'(pi/3) = -7, and let g(x) = f(x

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Q: a) Find a function f so that f’(x) = 6x + cos(x). b) Find a function g with g’(x) = f’(x)

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Q: Given that f (x) = 3 cos ⁡( x ) − 7 x + 4, evaluate f'(0)

A: f(x)=3cos(x)-7x+4 Note: derivative of cos(x) is -sin(x) and d/dx (x^n)= nx^(n-1) Use the above…

Q: J_3/2(x) = 2 TX COS X X - sin x -

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Q: = 4 and f Find the following. Suppose f 3. -5. Let g(x) = f(x) sin(x) and h(x) = f(x) 3 (a) g 3…

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Q: (x) = [*cos(t¹) dt, then g'(x) cos(x7) — sin(x7) — sin(77) + sin(x²) cos(77) - cos(x7)

A: Given query is to find the derivative.

Q: Calculate h(x) if f(x) = x+3 and g(x) = sin(3x). Let h(x) = g(f(x)). What is h-1(x)? What is…

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Q: If f(x) = 4c0s(x) , then f'(x) = %3D (A) – sin(x) 4°os(x) (B) – In(4) sin(x) 4cos(x) (C) In(4)…

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Q: If f(x)=2x-3, and g(x) is a function such that g"(0) = 4 and (fg)"(0) = -4, then g'(0) =

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Q: Find f if f"(x) =2 + cos(x), f(0) = 10, f(t/2) = -5. f(x) = |

A: To find f if f"x=2+cosx, f0=10, fπ2=-5. Solution: We have, f"x=2+cosx Integrating both sides, we get…

Q: If f(x) = e2" [sin(=)]°, what is f'(x)?

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