Let f(x) = sin(x) and g(x) = x². Find (fo g)' (x). (2æ)cos(x²) O (-2x)cos(x²) 2sin(x)cos(x) 2xcos(x)

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: If g(x) + x cos(g(x)) = x8, find g ′(0).

A: In order to calculate g'(0) we first need to find out g'(x) by differentiating the above given…

Q: sin(x)ecos dx COS X 8.

A: Given,

Q: Show that (a) · J-1;2(x) = 2 Vлx cos x

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Q: ilf find f'(x). Answer f(x) = 3 sin x 1 + cos a

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Q: Find L {f(t)} if f(t) = cos 5t + sin 2t

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Q: Let h(y) = 2 cos y – 7 sin y. Then h'(y) =

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Q: If g(x) = 3 sin x + 2 cos x + 5, then g' (3) = A B 12/3-√3 - 3/2+√3

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Q: If f(x) = 3 tan-'(3 sin(3x)), f'(æ) =

A: The given function f(x)=3tan-13 sin(3x)

Q: Let f(x) = cosx²) and g(x) = vx. The (natural) domain of (f • g)(x) is = Cos

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Q: Find g(x) given that g'(x) = cos x and g(π/2) = 4.

A: Given; g'(x) = cos x and g(π/2) = 4.

Q: Are fi (x) = x, f2(x) = x², and f3(x) = 4x – 8x2 linearly independent or linearly dependent on (-00,…

A: Definition: A set of vectors are said to be linearly independent, if no vector can be represented as…

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

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Q: et +e» et Рe-* cosh(x) sinh(x) 2

A: Given that:- coshx=ex+e-x2 sinh(x)=ex-e-x2

Q: Let f(æ) -4 cos x + 8 tan x f'(x) = r(#) - 27 f' 3

A:

Q: (b) Find (f ¹)'(1) if f(x) = x² +5 sin " + cos2. (TTX) (X)

A: Solution to find the value of derivative of inverse of f(x) at x = 1 is as follow