sin2(x)-cos(x) 3. Compute limz→ sin(x)-cos(x) 를 O2 OV2 00 ONone of these

Q: Find g'(x) if g (x) = 5√x tan x. 5(2 cot x+tan x) 2√x 5 tan x(2x sec x+1) 2√x 5(x sec² x+2 tan x)…

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Q: 3x+7 sin2x x+x.cosx 1- lim- x2-2 lim 2x2+x 3 - lim- x→0 2 - 00+X x→0 sinx.cosx 1 lim x-1- 1-x2 x-3…

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Q: 1/a | sin(t")dt Find lim T.

A: We have to calculate the value of : limx→∞∫01xsint2dt·x

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Q: X – sinx (i) lim x2 d (ii) ( e2x · cos x) dx (iii) J tan 2x dx d (iv) dx ( sech 2x) 1 (v) -) dx S(…

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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: x-sinx (i) lim x2

A: i) limx->0x-sin xx2

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

A: The given function is y=cosx-sinx2

Q: tan (5x) x sin3 (2x) 2)- limx-o:

A: we have to evaluate the A=limx→0tan4(5x)xsin3(2x)

Q: lim (x' – 2x* +5)= x→-2 O a. 22 O b. -11 O C. -13 O d. -18

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Q: 3-f(x) = tanh¯1(cos(e*))

A:

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

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

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)

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: 1 lim (1 + sin²x)x

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Q: sin(cos x) limx-n/2

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Q: lim t →0  (e^6t i + (sin(7t)/ (7t)) j + e^−4t k)

A: Limit :

Q: 4x+sin x lim x→02x - sin 3x

A: We have to solve given problem: