Differentiate each of the following function with respect tox. a) f (x)= 2 sin x- 3x' +8. 8 b) f (x)= tan 3x - In 2.x+ %3D

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A: We have to find  the derivative

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Q: Consider the function f(x) whose second derivative is f''(x) = 8x + 6 sin(x). If f(0) = 2 and f'(0)…

A: Given  f''(x) = 8x+6 sin(x),  f(0)=2,  f'(0)=4 We have to find the value of f(3).

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Q: 14. S 5 sin 3x cos 3x dx 15. ſ tan? Ode

A: We can solve the given integral as follows:

Q: Consider the function f(x) whose second derivative is f"(x) = 3x + 8 sin(x). If f(0) = 2 and f'(0)…

A: Consider the second derivative function, f''x=3x+8sinx Given, f0=2  and f'0=2 We need to find f(x).…

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Q: Consider the function f(x) whose second derivative is f"(x) = 6x + 3 sin(x). If f(0) = 4 and f'(0) =…

A: Given,

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A: Given function f(x)=4cos(2ln(x))

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A: Given : f"(x) = 8x + 3 sinx, f(0) = 4, f'(0) = 4,    To find : f(5)?

Q: How many periods of the function y = sin x are there between -10T <0<6T ?

A: Given that y=sinxTo find : number of periods in interval  -10π≤x≤6πSolution : period of sinx is 2πin…

Q: Consider the function f(x) whose second derivative is f''(x) = 9x +8 sin(x). If f(0) = 4 and f'(0) =…

A: Recall: ∫xn dx=xn+1n+1+c ∫sinax dx=-cosaxa+c ∫cosax dx=sinaxa+c ; where 'c' is an integration…

Q: 4) a) Determine the simplified expression for the 623rd derivative for the function f(x) =cos(2x)…

A: a)   fx=cos2x+sin2π     =cos2x+0      = cos2x

Q: 1. Find the derivative of the following sin² x cos² x a)y + 1+cotx 1+tan x

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Q: Consider the function f(x) whose second derivative is f''(x) = 7x + 4 sin(x). If f(0) = 2 and f'(0)…

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A: It is given that,  y=-12cos x It is known that general equation for such functions is given as,…

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A: Using integration &amp; given condition.

Q: Consider the function f(x) whose second derivative is f"(x) = 9x + 4 sin(x). If f(0) = 4 and f'(0) =…

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Q: Sketch, on separate graphs, each of the functions : (i)sinh(x). (ii)cosh(x). (iii)tanh(x).

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A: Differentiate the function  f(x)= sin(sin(√2x)) .

Q: Consider the function f(x) whose second derivative is f"(x) = 9x + 6 sin(x). If f(0) = 2 and f'(0) =…

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A: Given:

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A: It is derivative problem.

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Q: sinh x 1+ cosh x

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Q: 1) Compute each derivative, show all work. Submit your work as a pdf. a) sin (1+ e3a b) tan (3x? +…

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Q: Express the following as an algebraic function of x. sin(arctan(2x) – arccos(2x))

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Q: Differentiate the following implicit function with respect to x : xy² - ? = - cos (v?) - cos

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Consider the function f(x) whose second derivative is f''(x) = 7x + 8 sin(x). If f(0) = 3 and f'(0)…

A: Recall: ∫xn dx=xn+1n+1+c ∫sinaxdx=-cos(ax)a+c ∫cosax dx=sin(ax)a+c ; where 'c' is an integration…

Q: Find the following derivative: dx sin tdt O A. - sinx O B. sin x О с. 1 cos X O D. 3 cos X

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Q: Consider the function f(x) whose second derivative is f" (x) = 9x + 3 sin(x). If f(0) = 3 and f' (0)…

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Q: Differentiate the following functions with respect to x (i) f(x) = sin² Vx² + 1 In(x²-3x) sec(7-3x2)…

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Q: calculate the value : f'(x) 3. a) f(x)=4xe**+ln(sin/x)+2cos(x³ +2x+1)

A: f(x) = 4xex3 + lnsinx + 2cosx3+2x+1f'(x) = ?

Q: 1. Differentiate each function by using formulas. t cost (b) у %3D COSX (a) f(x) = 1+sinx

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Q: Differentiate each of the following functions with respect to x. 1. y = In cosh2x 2. y = e" sinh x…

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Q: d cos 2x – x³ dx 3+ tanh x

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Q: a(cos2x) sin(x-) TC 1. f(x) = tanx 4. What values should a and b take for the function fx) to be…

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