give 3 basic derivatives examples of sum rule with solution Avoid using: cosx, sinx, tanx, logx. Numbers only and square roots

Q: cos x + + sin x |

A: Given:cosx+π2+sinx-π2=2   Formula:  sinA±B=sinAcosB ± cosAsinB......(1) cosA±B=cosAcosB ∓…

Q: Approximate sin(179∘) by using a linear approximation of f(x)=sin(x) at x=π. Give your answer…

A: In order to solve the problems of this kind we need to use linear approximation formula and then…

Q: Eses: Find the derivatives of: 1 In sinx, 2 - sin(lnx), 3 - e-cosx 4 - /cos(3x - 1), 2 - [1+ cos(x?…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: VT (2x)[sin (2x²)] cos (x²) your exact-value result. Evaluate dx. Show complete pencil-and-paper…

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Q: 1 sec- x = cos

A: Given, sec-1x=cos-11x   Check it is True or False:

Q: (A) Evaluate Sin (3x) Sin (3x) dx

A:

Q: simplify sin x-1/cos x - cos x /sin x-1

A: The given expression is

Q: give 2 basic derivatives examples of quotient rule with solution

A: Quotient rule of differentiation states that: ddxuv=vdudx-udvdxv2 or ddfxgx=gxf'x-fxg'xgx2 Example…

Q: Cosx Find (x), f (x) +{In(Tan). 2Sin?x 2 ||

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Q: Trig Method. Rewrite as f sin3 x ( 1 - sin2 x) cos x dx followed by u-substitution with u = sin x…

A: The given function f(x) is: The substitution made in the function is

Q: sec e de 1+ tan 0

A: To find∫secθ1+tanθdθ

Q: Example Determine where sin (x) is increasing and where it is de- creasing on the interval (0, 27).

A: Let f be continuous on [a, b] and differentiable on the open interval (a,b). Then(a) f is increasing…

Q: DIFFERENTIATION: MPLE If 3 find つく- 31 Sinx= es expansion for cos3x

A:

Q: lim »0 sin(2t) tan(7t) is t2

A: Here we find the value limt→0sin(2t) tan(7t)t2

Q: sin(z)+9 cos(z)–9" Find the derivative of If you need to enter an expression like sin x with STACK,…

A: To find  The derivative of given expression.

Q: 3 3 | sin sin x cos xdx 5

A: It is integration problem.

Q: sin 5x. lim X0 5x. Cos 5x

A: Given limit, limx→0sin 5x5x·cos 5x

Q: sin2x de Evaluate:

A:

Q: 6. y = -sin (²x) III Thre KIN 플 X

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Q: 5) limx° 2x tan an)

A:

Q: 3 + cos 3x dx Evaluate sin 3x

A:

Q: Calculate the higher derivatives. y = 5 tan(x) (Use symbolic notation and fractions where needed.)

A: Given,           y=5tanx

Q: cos(2x)– cosx sin x 4. lim, »o

A:

Q: 61. lim r sinx 63 1:

A:

Q: 1 sec @ — tanө %3D sece + tan0

A: rationalizing LHS and using trigonometry formula's to get RHS

Q: tan x - X 1. lim sinx 5 A. 2 В. 2 С. О D. undefined

A:

Q: 3) f(x) = cos5 (tan (sin²(x*))) ||

A:

Q: Y= 5-e- COSX by %3D

A: Given: y=5-e6y=cosx( This question is don't have to specify word  find  and how to find the answer)

Q: ) Write sin(2 sin-(3x)) in terms of x only. (i) 6x/1 – 9x² (ii) 6x (iii) V1 – 9x² - (iv) Not listed

A:

Q: Sec(tan

A: The given expression is sectan-13

Q: Evaluatelimx→0(sin x - tan x)/x3

A: Evaluate

Q: cot(sec¬1(x))

A:

Q: g)Sinhy=tanx ind

A:

Q: a) = Cos(x + a); prov

A: we have ,  sin(x-α)=cos(x+α)we have to prove that, tanx=1

Q: sin³x dx Evaluate: | 1-COSX

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: lim 1-cosx/sinx ? x-->0

A: Given:

Q: dx Example: Evaluate 3 + sin x + cos x

A:

Q: 1 dx 1+sin x+cosx Evaluate:

A: Given integral, ∫11+sinx+cosxdx

Q: (1+ cos x)(cscx- cot x) =

A:

Q: Derive the formula for Sin(A-B) (Hint: use formula Sin(A+B) and even/odd functions

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Q: • tan°(x) Xp- cos“(x) 1 1 tan9

A:

Q: #/2 sin " x 2: Evaluate 20 sin ° x+ coSx

A:

Q: cos2x /(sin x+cosx)

A: cos2x(sinx+cosx)

Q: sec² x 12. S 1+tanx

A: here we use       ddxtanx=sec2x see below the calculation and answer s

Q: stion Three: If y = sin(x) – sin³ (x). show that y' = cos³(x).

A: We will differentiate the function and use the identity : 1 - sin²(x) = cos²(x)

Q: Integrals Evaluate each integral.

A: We have to evaluate the integral: ∫tanh2 x dx We know the identity, tanh2 x+sech2 x=1⇒tanh2…