6. Suppose you wish to differentiate g(x) = sin²(x)+cos²(x). What is the fastest way to do this, and why?

Q: 9. Find f' (x) for the function f (x) = sin? (cos(4x)) 10. Find f'(x) for the following functions:…

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Q: Find [(x- sin(2x)) dx

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Q: two friends are trying to figure out how many supernova explosions there will be by looking at the…

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Q: If f(0) = sin 0 = 0.1, find f(0 + 7).

A: fθ=sinθ =0.1

Q: If f(x) = sin x and f(a) = 3 / 5 , find f( - a).

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Q: If g(x)=cos2x and f(x)=sin (1/2) (π), find g(f(x))

A: Given functions are  g(x)=cos2x and f(x)=sinπ2

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A:

Q: I need to find the derivative of the function f(x) = cos-1(ln(sin(3x+1))) but I am unsure how to…

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Q: Derive the formula tan¯¹(x) =_¹. dx 1+x²

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Q: 2. Given the function f (x) = sinx and g(x) = x², find the value of g(fG)

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Q: 7. Find the second derivative given g(x) = sin x² A. 2 (cos x² - x sin x²) C. 2x cos x² 9 "(x) - 4 x…

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Q: Find f if f"(x) = 2 + cos(x), f(0) = -9, f(pi/2)=9 f(x) =

A: Solution of given question is followed by:

Q: If f(x) = cos x, then f'() = A. B. - C. - C. D. √3

A:

Q: 2. Find f35 (x) and f102 (x) for f(x) = sinx. 3. Find f'(0). f(x) = sinx + 3 tan x + 1

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Q: Determine f,(x); f(x) = cos(2x³ +n²)

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Q: 4. For the function f(x) = 2x² - 3x² sin x + sin x cos x, evaluate ¹₁ f(x) dx

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Q: Express tan C as a fraction in simple 36 D 45 27 E

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Q: f(5)(x)

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Q: If g(x): = cos 2x and f(x) = sin-n, find g(f(x)). %3D

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Q: Determined and of y = (5x²-3) (cos x + lnx).

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Q: For items 8-9 Let f and g be continuous functions in the interval a < x<b and let k be a constant.…

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Q: Find x cos(x)-sin(x) = 0

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