Discuss limit(n →∞)fn on B and C for  fn(x)= cosnx; B=(0, π/2), C=[1/4, π/2)  fn(x)= (sin2nx)/(1+nx); B=E1 fn(x)=1/(1+nx); B=[0, 1); C=[0, a], 0 < a < 1

Q: Letf (x) be defined by f (x) x sin(-) for x # 0 and f (0) = 0. Find f' (0). O 1 Does not exist.

A: Please refer to the image below

Q: Find the weak derivative of f(x) = |x² − x + 1/5 on the - 1) interval (0,1).

A: 1.Given: fx=x2-x+15.To Find: The weak derivative of the given function on the interval 0, 1. Note-…

Q: (4) Find the derivative of f(x)= tanx+5

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Q: Find Integral (cos(x) cos (2x) cos (5x) dx : considering cos (mx) cos (nx)= = (cos((m-n)x)+ cos…

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Q: 5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c)…

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Q: PLS HELP ASAP ON ALL

A: 4. Given:f(x)=π2Getting the derivative, we have:f′(x)=dxd​(π2)Since π is a constant, the derivative,…

Q: Find for f'(x) | f(x) = x – cos(x) f(x) = e* – 2x - 2

A: To find f'(x).

Q: Which of the following is not equal to the derivative ofy = (cos(x) – sin(æ))= A 2 (sin? (x) – cos²…

A: The given function is y=cos x-sin x2

Q: Suppose f(x) = 3*sec(3*) tan( 3*). Evaluate: / s(x)dx sec(3*) A +C In (3) 3*. sec(3*) +C B In (3) ©…

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Q: The derivative of the function f(x) = elan(=) + Ve is

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Q: 2- Find the third derivative for əx3 for f(x,y) = sin) )+2 sin) sin)+3cos°) 8y3sinz s()+2sin()…

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Q: 25 (6x + 5)³ But Do NOT use the Quotient Rule. a) Let f(x) = = f'(x) = Find f'(x). b) Let g(x) = 6…

A: We have to find the firstd erivative of the given functions.Recall some basic formulas: ddxxn=nxn-1…

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: 3-f(x) = tanh¯1(cos(e*))

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Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

Q: 2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following…

A: a.)   Given f(x) = 2x + 3x-1/2 f'(x) , f''(x) are to be calculated. Formulas used here  ** y = ax…

Q: Q. No.1 a) Use logarithmic differentiation to find dy/dx of the expression: 3 2(2x+1)(x-3)…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: (b) Find the intervals in which the function f (x)=x* +6x' +6 is concave up/concave down. Also find…

A: When f''&gt;0 then function cancave up when f''&lt;0 then function cancave down

Q: Find f'(x) if f(x) = tan-1 2x sec²(x) 1 1+x² 2x 1+x² 2x 1+x¹ 2x 1+x² 1-¹ (x²).

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Q: Can you find f

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

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Q: Let f (x) =e*. sin(x²). what is the correct result of the derivative of f with respect to x?…

A: This question is related to differentiation, We will solve it using given information.

Q: Find f if f'(x) = 2 + cos(x), ƒ(0) = 10, ƒ(π/2) = 6. 2 f(x) = x² − cos(x) – (n - + - (x + 10 ) x +…

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Q: If f(x) = 7cos(x), what is f'(x) ?

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Q: Suppose that f and f'satisfy the following. X f(x) f'(x) Calculate 2 0 -2 4 15 -3 6 13 2 A) g' (2)…

A: (A) given g(x)=3sin(f(x))