Find y' for the following e+ tan(e*)= y secx Select one: secx tanx- sec2(e*) - secx -y secx tanx+ sec2(e*) secx y secx tanx-e* sec2(e*) ес O None y secx tanx-e sec2(e*) ey- secx

Q: Determine the equation of the tangent line for y = sech(In x) + tan-(x²) tangent at x = e*. A. Yr =…

A: The equation of the  tangent line for the function f(x) at the point x=a is, y-fa=f'ax-a. The…

Q: The derivative of the function y = (10e* – 10x*)(tan x) is: a. y' = (e* – 40x3) tan x + (10e* –…

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Q: 4. Find using derivative rules. dx sinx x8+x x2 tanx (a) y = (b) y= (c) y = cos³(3x² + 9) cos(5 x*)…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: y=8sin(x)cos(x) ; x=pi/3

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Q: sec" y dy- (f) tan y

A: Topic = Integration

Q: 4) Estimate tan (0.5) using the tangent line to y = tan(x) %3D 6

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Q: 10. Find the first derivative of sin (y) + cos (x) = 1. cosx siny sinx a. y' b. y' %3D cosy C. y'…

A: We have to find the first derivative of sin(y)+cos(x)=1.To find the derivative we use chain rule of…

Q: Find the first derivative: y = In sin e Oy = 2e sece Oy = -2e cot e= Oy = 2e tane Oy = 2e cscez

A: Solve by derivation

Q: tanx f f(x) = = [tion. A B C √1+1² 1+e' In (secx)√1+tan²x tanx 1+e sec²x 1+ e tanx sec ³x tanx 1+e…

A: Integration

Q: Solve using Substitution Method. y(x Tan x + In y)dx + Tan x dy 0

A: The substitution method as follows, y (x tanx + ln y) dx + tanx dy = 0

Q: Get the partial derivatives δω θω дх’ ду δω given that Əz w = Arc sin (x² + y) — tan 2z + 1 and

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Q: Find the derivative of OA. In (tan x) y'= X OB. y' = (tan x) OC. y' = [(secx) ²] x OD. Inx y' = (tan…

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Q: Find all second order partial derivative with respect to variable x and y. F(x,y)= x cosxy + y sinx…

A: We have to find all second order partial derivative with respect to variable x and y: Given:

Q: Explain how a directional derivative is formed from the two partial derivatives ƒx and ƒy.

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Q: Differentiate: y = 5 tan? (25z) %3D Oy = -750z tan (25z) sec (25r') Oy = -750z? tan (25z) sec (25z)…

A: We have to differentiate  y = 5 tan225x3.

Q: Compute the derivative of (arctan(x))^e^x

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Q: ind dy/dx by implicit differentiation for the curve  ex/y = x + y.

A: we differentiaite both sides with respect to x:

Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

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Q: Find dy/dx 1. sin^−1(xy) = cos^−1(x − y) 2. sec^−1(2y cos x) = x^y

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Q: Use implicit differentiation to find the derivative of: 9. х2 +x Arctany %3D у + 4…

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Q: dy tanx Find dx for y = 1-secz %3D O 1 1) dy (1+secx)secx-secxtan'x dx %3D (1-secx) 2) dy…

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Q: Find the derivative. y = sinh 1(tan x) O y = |cos x| O y = 1 /1+tan x O y = 1 Vtan? x-1 O y = |sec…

A: In this we have to find integration and derivative.

Q: Find Partial Derivatives for z = sin(x)cos(xy)

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Q: What is the equation of the tangent line to the function y = e-* - arcsin) x+1 2. at x= 0 ? A) y-…

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Q: Find dyldx y =-secu, u = x- COs X dy -sin(x-cos x) cos x) sin(x-cos x) cos(x - cos x) sec(x- %3D dx…

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Q: 4In(Arctan x) = 1-y

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Q: d sec z = sec z tan z dz

A: The function is a rule that associates or fixes a number to the particular point z . If , then the…

Q: Find the partial derivative. z = sin (6

A: We have to find

Q: Use implicit differentiation to find dy/dx X^3+ sin y=x^2 y^5

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Q: Draw 1st & 2nd derivative charts. Identify extrema & inflectionn points. y = x2 + 2/x

A: Consider the function,

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: find dyldx for the flowing * y = secʻx – tan“ x Î Add File y = 3 sin' 2. 1 Add File ) y = x.sinh2x…

A: Explanation of the answer is as follows

Q: Find dy/dx by implicit differentiation. tan(x - y) 5 + x2 y' = %3D

A: Given tan (x - y) = y/(5+x²) Find dy/dx

Q: Find dy/dx using appropriate derivative rules. 1. y = 8x^5/2 - 7x-9 + square root of 5 2. ) y =…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: 1 -dx= cosº x/2sinx 5 /tanx+=Vtanº x + C А. Vtanx+/tan5x+C 1 B. tanx +÷Vtan° x +C С. 2 2 tan x +C 1…

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Q: Find dy/dx by implicit differentiation. tan−1(2x2y) = x + 4xy2 y' =

A: Explained below

Q: Find the indicated partial derivative.

A: Given that, f(x, y) = y sin-1 (x, y) We have to find fy(1, 1/2).

Q: Find dy dx if sin(x + y) = tan(xy)

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Q: Find the derivative of y = Arccot (tan(esecx)) in its simplest form %3D A. y' = e Sec*secxtanx B. y'…

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

Q: FIND dy/dx FOR EACH FUNCTION. 1. y = (tanx + sinx)-3

A: 1). Given y=tanx+sinx-3. To find: dydx Solution: Power rule of differentiation states that:…

Q: Find the derivatives of the f: 1. y: sin (x²+3) 6. y= e tan 3x 7. y: e 2. y= tan (4x*) cot (3x-8) 3.…

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Q: Given: y = arctan sinh find y' at x = 2 cosh 1 1+sinh 1 cosh 1 %3D 3(1+sinh 1) cosh 1 1+sinh 1 cosh…

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Q: Determine the general solution of y" + y = tanx using variation of parameters

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Q: The derivative of y = In(sin(ex + 1)) is O y' = -ex cot(ex + 1) the above y' = -ex tan(ex + 1)

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Q: Find the derivative of y. y = 3ztanh (z)+3In /1-z y' = 3 sinhz y' = tanh 3z y' = 3 tanhz y' = 3…

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Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: Given: cosx+tanxy+4=3We need to find dydx.Recall the formulas: ddxcosx=-sinx…

Q: Find

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Q: dy Find ax for y = sinx tanx dy O 1) = cosx tanx + sinx sec2x O 2) dy dx = COSX sinx - sinx tanx %3D…

A: