For g(x) = a + 5 cos(x)+ cot(x), find g' (). a) 02+ V3 -5/2 1 2 /3 4 -5/2 2 O 2 - V3

Q: Find  (f −1)'(a). f(x) = 3x3 + 3 sin x + 3 cos x,    a = 3

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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: Find f(x).

A: Given,

Q: Given that f"(x) = cos(x), f'(T/2) = 8 and f(T/2) = 6 find: || f'(x) = f(x) =

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Q: Find f. f(0) = = f"(0) = sin(0) + cos(8), f(0) = 3, f'(0) = 2

A: f"θ=sinθ+cosθ Integrating both sides  ∫f" θdθ=∫sinθdθ+∫cosθdθ f'θ=-cosθ+sinθ+C..... (i)  Put θ=0…

Q: Find g'(π/4).

A: Given:

Q: Find f. f(x) = f"(x) = cos(x), f(0) = 9, f'(0): = = 8, f "(0) = 6

A: Given,  f'''(x)=cosx, f(0)=9, f'(0)=8, f''(0)=6

Q: s¯¹(x + 1) − √√14 − 3x², find ƒ¹(x). If f(x) = 3x cos

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Q: If f(x)- 3 cos 4x- - {).₁ 0 -3 -12 4 find f'

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Q: Find f. f"(x) = 5 + cos(x), f(0) = -1, f(9π/2) = 0

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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: Let Find f(x) = y = f(x) = 5x + 18 cos x. d f(x) =

A: Given query is to find the derivative at indicated point.

Q: Let f(x) = cos(x). (a) On [0,2n) solve f(x) = 0. 4.

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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: 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: 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: 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: Find g'(x) given that g(x) = x° cos(Tx) os (πα)

A: Given,  g(x)=x3cos(πx)

Q: Find F'(x), f"(x) and f'"(x) for f(x)=x$+cos(9x).

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

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Q: Find (f −1)'(a). f(x) = 4x3 + 5 sin x + 2 cos x,    a = 2   (f −1)'(a) =

A: Consider the function f(x) =4x3+5sinx+2cosx.Compute the derivative of the given function as follows

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

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