Differentiate : a. y= 9x sec (x/3) b. y= sin2x/1-cos2x

Q: find dy/dxy=cosx/1+sinx

A: To find the derivative of the given function y  = cos(x)/(1 + sin(x)).Use the quotient rule for…

Q: Differentiate (a) y − sin(x2) and (b) y − sin2x.

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Q: Find the first derivative: y = 3 arcsin(cos 2x) %3D O-7 O -8 O -4 O-6 O-5

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Q: Differentiate. y = In Sin x  - 1/2Sin2 x

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Q: Differentiate y=(1-cosx)/sinx

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Q: Differentiate. y = sec(e) tan(e) sin (8) y = cos(e)? 2

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Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: √xA)• dS over the surface of a hemispherical bowl of radius 2 and its circular rim if A = 3 sin(-)â,

A: Please see the attachment

Q: tan (VT)+2 dx J Va (sec(VT) – cos(/7))

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Q: Find dy dx tan/ sin3x) + eos (cos. .....

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Q: Calculate f 6 sinx cos² x dx.

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Q: find y" (second derivetive) of the function y = cos(2x) 3 - 2 sin²(x) and find the inflection point

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Q: Differentiate y=(1-cosx)/sin2x

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Q: 1. Differentiate the function. y = In(VT sin-(5æ))

A: As per our guide lines we can answer only 1 question. Kindly post the other question seperately.…

Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

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Q: dx is equal to 1+cos x - cotx + cscx + c -tanx + cscx + c O cotx + secx + c O cotx + cscx +c

A: To find: ∫dx  1+cosx

Q: 8. S (1+cos3x)² dx sin23x

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Q: Differentiate y=(sinx)2(sin-1x)2

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Q: Integrate this item using (parabolic) Simpson's rule, with interval width of 2.00 units. x tan x + 5…

A: The formula for Simpson's rule isSn=∆x3f(x0)+4f(x1)+2f(x2)+4f(x3)+...+4f(xn-1)+f(xn) where…

Q: dy If y = tan-[ sec2(5x² + 1) csc-3 (cos 3x)]. Find

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Q: Use the first two non- zero terms to estimate ∫​sin(x^2)dx from 0 to 1.

A: Solution:- Use the first two non-zero terms to estimate ∫01sinx2dx

Q: 2, " cos“(x)sin*(x)dx

A: To find : ∫0π2cos6xsin4xdx

Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

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Q: Evaluate the integral.

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Q: (a) S sin³ cos dx . 3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find , if y = x sinh x - cosh x %3D dx

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Q: Find by implicit differentiation. 3+ 6z = sin(zy') dy Answer: dz

A: Solution is in step 2

Q: Differentiate with respect to x. Y=sin5x

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Q: Use sin 0 = 0, sin = 1, and sin t = 0 to estimate sinl E) (Round your answer to three decimal…

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Q: 1. ſ tan5 2x sec3 2x dx

A: Let,I=∫tan52xsec32xdxI=∫sin52xcos52x1cos32xdxI=∫sin52xcos82xdxI=∫sin42xcos82xsin(2x)dxusing…

Q: dy =Cos x Sinx cotX 8-

A: As we know that; The standard form of the linear differential equation; dydx+Py=Q Where P & Q is…

Q: 106)Find the nth derivative of cosx cos2x cos3x AND ALSO FIND S dx sin?x

A: Cos2x = 2cos^2x -1

Q: Jntegrate 0 sin3x Cos?x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the antiderivative of  2(sin(2x))/sin(x)?

A: The anti-derivative of a function is a differentiable function whose derivative is equal to the…

Q: 2) [ tan' (-) sec" () dx , 3) | 3) T5x+4 dx, 1) sin-1x dx , tan () sec? V5x +4

A: Since the question contains multiple part we can solve only first 3 for you. If you want any…

Q: Find the trigonometric integral ∫sin2 x cos3 x dx

A: We have to find the trigonometric integral: ∫sin2 x cos3 x dx Rewriting the integral, ∫sin2 x cos3 x…

Q: • TT/3 1– sinx' |dx From right endpoint 1- cscx + n = 4 n/4 coS X

A: We have to find the right end point of the following expression   The given expression is  we…

Q: Evaluate sin integral (4x) cos(5x) dx

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Q: 2. Differentiate y = /sin(x² + 3)cosx

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Q: Find dy/dx if sin-(4y²) = 8x² – 5y3 Answer: Find dy/dx if tan- (xy²) = 3x² – 5y² Answer:

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Q: Differentiate.   y =  Sin -1(ex)

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Q: 4. EVALVATE | sin4x vos5x dx

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Q: 10.y = Arc cot (sinh3x) 11. y = cosh?4x - cos 12. y = In (sinh4x) cosh8x +x² 2

A: To find dy/dx: 10.y = arc cot ( sinh3x ) dy/dx = [1/(1+sinh23x) ]( cosh3x) 3  = (3 cosh3x) /…

Q: Differentiate y= x2  sinx

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Q: Sirzy-L652X こつinてy Cos? x CoSz seczK-

A: As per guideline we have to solve the 1st one. For another solution request again

Q: What is the antiderivative of sec2(5x)dx from pi/20 to -pi/20?

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Q: Evaluate the indefinite intergral ∫sin(-10x) dx =

A: This question can be solved using integration by substitution.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.