a- solve the fowing sin7x 1. lim X-0 2x

Q: If f(x) = 6(sin(x))", find f'(2).

A:

Q: Find all values of x such that sin 2x = sin x and 0 <x< 2m.

A: sin 2x=sinx⇒sin 2x-sin x=0⇒2 sin x cos x -sin x=0⇒sin x2 cos x-1=0⇒sin x=0  or  2 cos x-1=0 sin…

Q: ex – 1 Evaluate: lim x+o sin-lx

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Q: Find [10] -t sin(v3t) е (а) L (b) L-- [tan-1 ))

A: We have to solve given problem:

Q: sin 2r tan 3r (a) lim

A: We have to find

Q: n of the coefficient/s when we evaluate (sec(x) - tan(x))²dx

A:

Q: Enter your answer to the nearest integer. sin(7x) lim %3D

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Q: DerermiNe The F(X) = arcsec (3X)

A: Given query is to find derivative of the function.

Q: If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

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

Q: 40 Using the reduction formula, we have! sin"xdx = %3D

A: Given : ∫sin40xdx

Q: S sin°xcsc³xdx

A:

Q: Let a be a constant. Evaluate + x? + a) sin(9x³) + 9x²)dx.

A: Given integration is ∫-22(x4+x2+asin(9x3)+9x2)dx     Which can be re-written as…

Q: Evaluate sin? 3x lim X0 1- cos 2x

A: The objective is to evaluate limx→0sin23x1-cos2x Since, limx→0sin23x1-cos2x is 00 form.

Q: sin(4x) 2. lim x→0 x² – ax

A: As per our guidelines, we are allowed to answer only one question. Since you have posted multiple…

Q: tan 8 TX lim sin 7x) x→0

A:

Q: Exercises To Solve [No.5] Lim 5 9-5 dx -x²8x-15 D "Cosx dx Sin x+25inx+5 b

A: 5)  Let , I = lima→5 ∫a-4 dx-x2 - 8x - 15 Let , us simplify denominator first ,  -x2 - 8x - 15 = -x2…

Q: S e?+tdt lim 2-40 sin(2x) +

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Q: Find h' (x) if h(x) = sin (2e).

A:

Q: If f(x) = 2 sin- (24), then f'(x) =

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Q: S sin 2xcos5dx

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Q: If f(x) = 10(sin(x))", find ƒ'(2).

A: Given f(x)=10(sin(x))x

Q: If f'(x)=sec(2x)tan(2x) and f = 6, find f (x).

A:

Q: If p(x)=(2x+4)^tanx, find p′(x).

A:

Q: find the value of x  tan3x=sin 45ocos45o+ sin30o

A: given expression :

Q: Simplify and solve .T 2 lim I sinc4xt)+5sin(나 +증) 1. -T and .T 고 I sinc4xt)+5sin (너t +증) |. lim -T

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Q: Find x + sin lim r00 x + cos x

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Q: ex – 1 Evaluate: lim X+o sin-lx

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Q: **. (1) lim,- V1+cos 2x 4 (x-) Q3) Find:

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Q: Sketch : 3 sin (x-T/4) +2

A: Start with the standard trigonometric function y = sin(x) and transform it to get the graph…

Q: sinx? – sin? x lim x4

A: Solve for the limit

Q: Q1: lim,-1 x(1 – cos-)

A: The objective is to find the value for limx→1x1-cos1x Since the given function is continuous…

Q: Graph the function ƒ(x) = sin 2x + cos3x

A: Given:

Q: sec?x a + tanx

A: We know that integration of 1/x is lnx and  The derivatives of tanx is sec2x.     Here i attached…

Q: Find f'(x) if f(x) = e3X sin 2x

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Q: eSti + sin(st); + e7k lim +1 8t + e

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Q: If f(x) = cos x - 6 tan x, then find: ƒ'(x) = ƒ'(5) = A 9-

A: See this solution

Q: lim, 0 6 tan² (5x) 15x²

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Q: --6 lim sin (9x)

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Q: tan(xy) = ? lim (х, у) >(,0) у+ 2ху 1 (c) 3 (а) 0 (b) (d) (е) 1

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Q: 4 sec2 x tan ydx+ sec? y tan xdy = 0.

A:

Q: If f(x) = 2 sin-(2), find f'(x). %3D Find f'(0.7).

A: Given, fx=2sin-1x3

Q: Find Sor y. Sin X- xp X+1

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Q: 11. y = x®tan³x

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Q: (c) lim tan5% x2 sin 4x

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Q: Evaluate 4x' – 1 lim 3x +2 sin (E).

A: Solve the given problem.

Q: Solve for x. 70 2.

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Q: Evaluate THT Sin 2X

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Q: Q1) Solve:- 1) lim x-2n 2x-4n 2) lim X(1-cosx) x-0 tan(tan2x)

A: 1)

Q: Pind the deriatie Y=-5 Sin (4x)

A: By using differentiation formula, we calculate the derivative of given function.