(Tlog3(cosh z) + csch x) tanh x dx

Q: y(x) = tan{/3x² + In(5x*) - In(5x'

A: Given  y(x) = tan3x23 + ln5x4 We have to find dydx.

Q: . If y = tan( sin t (. cos t-1 1 dy %3D show that dt 2

A: The given details are as follows. y=tan-1sin tcos t -1 Observe the chain rule of differentiation as…

Q: Use implicit differentiation to find dydxdydx without first solving for y. x^4+y^4=−2 dy/dx=?

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Q: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: Preview and where B is: Preview

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Q: xe 2, x Cosz dx

A: Integration by parts, ∫udv=uv-∫vdu u is the first function Given integral, ∫x exdx

Q: find dy / dx by implicit differentiation.

A: In implicit differentiation, on differentiating y, we use dy/dx.

Q: Find th epwation of the tangent line to An- (x-2y): 2xy-1 at print (1, 2) d [sin- (x-2g)] = (2xy-1)…

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Q: ation: tanh’(x² + 3y 3

A: We have to find dydx of following equation. tanh3(x2+3y3)+ex2y4=3        ........(1)

Q: find dy.y = sin (5sqrt(x))

A: Given y=sin5x. To find dy. Solution: We have y=sin5x. Chain rule of differentiation states that:…

Q: it Z = exY , where : x= Incutv) and y = tan () %3D find a) du శ్రీశర శశ్ర

A: Given,  z=exy ; where x=lnu+v and y=tanuv To find: partial derivatives

Q: Q2) prove that cosh(x + y) = coshx coshy + sinhx sinhy

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Q: Find fy ) for (x,y) Cos (x) sincy) exy

A: Given query is to find the partial derivative of the expression with respect to y.

Q: Show that if y = ex² dy cosh x then y(2x + tanh x) %3D dx Differentiate with resnert to y 1.

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

Q: The linear approximation at x = 0 to sin(3x) is A + Bx where A is: Preview and where B is: Preview

A: Given function:

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

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Q: dy b) Find If tan2²(2y) – S cost dt = 4 – x2 - dx

A: We find the dy/dx by Leibniz rule.

Q: dy Determine of the following function dx sinhx x+y= /1+ cosh x

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Q: Find cosh² (t) sinh5 (t) dt.

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Q: (b)/ Use the Trapezoidal Rule with n = 4 to estimate (x' + 1)dx.

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Q: S sin x In(cos x) dx X

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Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x -dx, in six…

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Q: Find dy. y = 5 In (5+ x°) dy =

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

Q: 9) If f(x) = sinh() , then f'(x) = %3D (A) 3 cosh(÷)

A: Given: f(x)=sinh1x2To find:f'(x)

Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

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Q: S2ta J 2tan x In (cos x) dx=

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Q: Use the trapezoidal rule withn = 5 to approximate 4 cos(x) -dx

A: To approximate : ∫14cosxxdx using Trapezoidal rule with n=5

Q: dy Find at x=0: dx y = (In(cos "x*) -1 COS sinh x %3D

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Q: Find dy Ldx For the following (Jy)' =(In tan x)(x") ( sin x)"

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

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Q: e following integral: 23 8xyz dz dx dy. 120

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your v?

A: Solution

Q: Use the Trapezoidal Rule with n = 4 to estimate f, (x³ + 1)dx.

A: We have to estimate ∫-11x3+1dx by using the Trapezoidal rule with n = 4.

Q: find dy/dx by implicit differentiation for: f(x)=In (2x+1)^3/squareroof of x^2+1

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Q: Find the length of y = ln (sec x) between x = 0 to x = π/4.

A: you meant to find the arc length of y=ln(secx). the formula for the length of the arc in the given…

Q: dy Exc:" of y = tanh (x5 – 5x)² --

A: Solution:Given         y=tanh4(x5-5x)2  To find dydxFormula:ddx(xn)=nxn-1ddx(tanh x)=sech2x

Q: The approximation of I tanx dx using composite Simpson's rule with n=5 is:

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Q: If y = V1-x² sinx, prove that (1–x²) +xy =1– x². dx

A: Given that :- y=1-x2sin-1x Prove that :- 1-x2dydx+xy=1-x2

Q: d y' of y= In(tanh2

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Q: on) b) Find if tan²y = x² + o V²+1 dt %3! dx Jysinx

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Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 2 = 1

A: Differentiate wrt x

Q: Find S x cos x dx by using integration by parts.

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Q: 1. If y= tanx, prove that y"=2(y² +1)(3y² +1).

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Q: Q2 \ Evaluate .1 dx by using trapezoidal rule. 1+x2

A: See the details solution in below

Q: Find t6e eavation of tangent ine of fcx) = X+) at X=2 X-3

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Q: Find where where y = V5x + sech¬1 x + In (tanh(x² + 3)). dx

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Q: What is dy/dx of the function y=tanh(sec x)?

A: To find the differentiation of the given function.  y = tanh(Sec(x)).