We have f(x): f(x) = {sin2x 0 >ܝ TT 2

Q: Given the function below f(x) = 3 x³ – ²x² − 18 x + 3 a) Differentiate the functionƒ(x) = 3 x³ − 2…

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Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: Determine f'(x) for: Ax) = sin (5x - 2)

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Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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Q: If f(z) = (3z -3)(2-22), use the product rule to find f'(0). %3D

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Q: Find value a  such that f(x)={x^2+2x-1 if x not equal to 1…

A: given,f(x)=x2+2x-1  if  x≠1a                if x=1left hand limit at x=1limx→1- f(x)=limx→1-…

Q: Given a) Prove the three conditions required of the corresponding function f(x) that must be…

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Q: Find the domain of the function g(x) = /1 – x ln x

A: We have to find domain

Q: a) x³ - x f (x) = 2x² + x − 1 - b) f(x) = ax + b cx - d

A: Here we have to evaluate for a) and b) the value of f'(x).

Q: Ql:- Find the domain of the following functions a) S(x) = sin"*(2 – 3x) b) f(x) = sec"*(x – 2)

A: we have to find domain

Q: and assume f(-2) =0 f'(– 2) = - 1. Find h'(-2). Let h(x) =x²e*(x)

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Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

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Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: Find f'(x) of f(x) = 3π√123

A: given: fx=3π123 we have to find f'(x)

Q: x³ + x 10) √ (x²+ + 2x² + 5) dx

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Q: Determine f(x) a. f(x) = 4 sin² (x - 2) b. f(x) = 2(cos x)(sec² x)

A: (a) The given function is f(x)=4sin2x-2 Find the first derivative…

Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

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Q: 1. ſ X (2x-5)² (3-4x) dx.

A: Solution: ∫x(2x-5)2(3-4x)dx Take the partial fraction ∫398(2x-5)-514(2x-5)2-349(4x-3)dx

Q: Differentiate the functions. a) f(x) = 2 – 3x + b) f(x) %3D Зе* + sinx c) f(x) = 3x

A: As per guidelines, we will solve only first three subparts. Kindly repost other subparts separately.

Q: The 7th derivative of f(x) = 3x5 - 12x¹ + 7x³ − 11x² + √5 with respect to a is O 360T O none of the…

A: Topic = Derivative

Q: Let f(x) = 6 sin ¹(x²). Then f'(x) equals 12x √1-x² 1 1- x4 6 /1-x² 12x cos−¹(x²) 12x √1 x4

A: The objective is to find the derivative of f(x).

Q: 9) Find f(x) if f'(x) = 7 sin x + 2x - 3 and f(0) = -3

A: Obtain f(x) by integrating the given first derivative as follows.

Q: Find f. f(x) = f"(x) = 5ex - 7 sin(x), f(0) = 3, ( 77 ) = 0 EN 2

A: Given :f''x=5ex-7sinx

Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

A: Solve for the f(x)

Q: Find ao of the function f(x) = ÷(n - x)² |3D IT ^ 2/12 O 5 T^ 2/6 π^ 2/6 O T^ 2/6 5 π^ 2/12

A: Fourier coefficient ao of the function in the Fourier series

Q: If f(4) = 3 and f'(x) 2 3 for 4 s xs 9, how small can f(9) possibly be? (9) 2

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Q: Determine the interpolating polynomial for f(x)=x^(2)+sin\pi x through (0,0);(1,1) (2,4). What is…

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Q: 1)f(x)=sin³ 2x 2)f(x) = 4coshr 3)f(x) )= sinx cos*x 4)f(x) = e*cosx 5)f(x) = 8 Inx %3D

A: image is attached