How to avoid loss significant figures : (i) 1- cos(x), x is near 0. (ii) (v1+x² (ii) x - sin(x), x is near 0. - V1-x²) ', x is near 0.

Q: cos x a Given that y = show that y' %3| 1 + sin x (1 + sin x)?" b Hence explain why the function 1…

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Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: 5. ( sin (7x) cos'(x) dx sin'(x) dx 6. /2 7. cos'0 de 8. Jo sin (20) de

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Q: sin x 2. Find f'(x) if f(x) = 1 - cos x %3D 1 3. Simplify your result in (2) to show that f'(x) %3D…

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Q: If y = sec (x* ), then is A. Ssee(x*) tan"(x*) B. 10r sec (x* ) tan" (x²) c*(x*) D. 10k tan(x*)…

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Q: Differentiate. Fx) = 7V sin(x) f '(x) = Need Help? Read It Submit Answer Practice Anoth 2. -/1…

A: Solving Q1 Given:

Q: 3 9) Use y'(3) to determine if the graph of y = 4 cos x +- is increasing or decreasing when x = 3.…

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Q: 3 sin x If f(x) then 2 + cos x f'(x) =

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Q: 21 csc' x 8. - (csc' x-1)" dx (simplify: cot' x+1= csc² x) 1 +C = tan"(x)+c ans : %3D 21 cot“ (x)

A: you can clearly understand if you follow the below solution

Q: 1 If f(x) = sin x and f(a) = find the value of f(a) + 7f(-a). 4' -14/1 find the value of f(a) +…

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Q: |tan' x.sec x.dr = tan x +C %3D

A: This question is based on indefinite integral.

Q: 10x 19) y Sin'(5x') (ans.: JI-25 x' 20) y= Cot ) (ans.: 1+ x' 6x' 21) y=tan'V4x'- 2 (ans.: (4x'-1…

A: As per guidelines we can only solve first question or first three subparts of the question, I am…

Q: 3-f(x) = tanh¯1(cos(e*))

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Q: If f(x) = sin(x³), find f'(x) Find f'(5)

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Q: sin.x 14. What is y" if y=1-cosx A) y'= B) y'= -COS.X (1 – cosx)? sinx (1-cos.x)² C) y'= D) y'=…

A: Given: y=sinx1-cosx We have to find y''.

Q: 2 sin(x) Given f(x) = x + cos(x) X a) Find the value of f'(x). b) Hence, find f'(0).

A: Given:

Q: If f(x) = sin(r*), find f'(x). 3z° cos(=") CoS Find f'(2). 3a cos(r³)

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Q: IFS(x) = - sin(x), then S ® (1) is equal to - sin(x) B) - cos(x) sin(x) O cos(x)

A: We have to solve

Q: ху' %3D у (1 — х tan x) + x? cos х x) + x² COS X

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Show that arctan(tanh(x)) = sech(2x). arctan(tanh(x)) dx D²tanh(x)) %3D 1 + ])-: 1/cosh²(x) 1 +…

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Q: Compute y' for y=√(3x++ e - 3x) 8 A (В B D Say 3 24 y = ²4 (4x³ - e-³x) (3x + + e-³x) ³ 5 3 8…

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Q: x2 - 2x + 3, x<0 cos를+2. + 2, COS Evaluate f'(-2) and 4.

A: It is given that,       fx=34x2-2x+3 , x&lt;0cosx2+2 , x≥0 Evaluate f'(-2).

Q: X* sin if x + 0 Show that the function f(x)= is differentiable at x = 0 and f '(0) = 0. X if x = 0

A: Proceed as shown below...

Q: 5-x * tan(x) If f (x ) = -sec(x) (a) f'(x) (b) f'(5)

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