Identify the correct form of the indefinite integral tan (x) csc (x) dx sec-/(x) +C O tan-(x) + C cos cos 7(x) + C COS |0 응 sin-S(x) + C cos-10(x) + 10 - o cos (x) + C CoS 1/81/7

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A: The given expression is: cos π3-x Note that: cos θ=sin π2-θ

Q: Let f'(x)= = f(x) = x² tan ¹(7x)

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Q: Find the derivative of f(x) = In [sin(x) +x] Lsin(x)-x] %3D 2(sin x – x cos x) x2 - sin? x )2(x cosx…

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Q: Find f' (x) for 8 sin(x) f(x) = -; 7x2 – 8 sin(x) s'(x) = |

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Q: x-sinx (i) lim x2

A: i) limx->0x-sin xx2

Q: Q2/ Find f (x) : 1- f(x) = 4 cos x + 2 sin x 2- f(x) = cos x - x csc x 3- f(x) %3D %3D cot x 1+cscx…

A: As per guidelines we can solve only one question at a time. So the first question can be solved as…

Q: What is the second derivative of f (x) =csch¬'(tan(x))? A f"(x)=- sec2(x) B) None of the given…

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Q: Differentiate each function a) f(x) =sin'[ (tan (cos (x²)) ] b) g(x) =/ sec(x* +2x) c) h(x)=V5 +3x²…

A: As per our guidelines we need to solve only 3 subparts.please repost the remaining subparts as other…

Q: 3 a Differentiate b Differentiate sin x and hence find an anti-derivative of COS X cos(2x) sin(2x) 1…

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Q: Find f'(x) if f (x) = 2 cos x + 3 sin x. f'(x) =

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Q: Differentiate y = In ( sin² (4x)). A y' = 8 tan (4x) y' = 8 cot (4x) y' = 8 csc2 (4x) sin (8x) y' =…

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Q: sec (2x) dx (tan 2x-4)"

A: We have  ∫sec2(2x)tan2x-43dxLet  tan2x=u    diff. w.r.t x we get2sec2(2x)= dudx sec2(2x)dx=12du now…

Q: Verify the equation

A: To establish the given trigonometric identity

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

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A: We need to differentiate the given Function.

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x =…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: CSCX -1 Differentlate: f(x) = secx A f'(x) = - csc2x+ sinx f(x) = sinx - sec²x C rx)=cosx-sec2x f(x)…

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Q: What is the derivative of −9 sin² (-3x³)? O-162x³ sin (-3x³) cos (-3x³) no correct answer O 162x²…

A: just differentiate the given function by using chain rule of derivative and easily find the required…

Q: tan x – 2 If f(x) sec x f'(x) = f'(4) =

A: f(x) = (tan x - 2)/sec x f(x) = (tan x/sec x) - (2/ sec x)        = (sin x * cos x /cos x) - (2 cos…

Q: What is the second derivative of f (x) =csch-(tan(x))2 A f"(x) =csc(x)cot(x) f"(x) =csc (x) sec (x)…

A: dcsch-1 (x)dx=-1x1+x2 dtanxdx = sec2x

Q: If f (x) = - cos(x), then f (10) (x) is equal to (A) - sin (x) ® -cos(x) © sin(x) D cos(x)

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Q: If f(x) ƒ'(x) = f'(2) = 4 sin x 3 + cos x then

A: derivative

Q: O find fx) if CoSx @ £(x)=. Sin X O flx) = x-4CSC x+2 Cot X © f(x)= (x).cotx 3- COSX. CSCX

A: SOLUTION-

Q: Find f'(x) = = 4-5 sin(x) cos²(x) f(x) = -4 sin(x) + 5 cos(x)

A: Given : f(x)=-4sin(x)+5cos(x)   To Find : f'(x)

Q: -3 tan x, then f'(x) = -sin(x) - 3 sec²(x) To two decimal places, = COS X f'(2) = - HI

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Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

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Q: sin5x(1-2t)dt (6) lim

A: limx→0∫xsin5x1-2tdtx Let  I=∫xsin5x1-2tdt=t-t2xsin5x=sin5x-sin25x-x+x2

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…

Q: If f(x) = cos(x), what is f'(x) ? O -sin(x) O cos(x) O -cos(x) O sin(x)

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