Q-1: find the derivative of y with respect to the given indepe 1. y = In(Inx) 2. y = In(In(Inx)) x Inx Vsinø cosØ 3. у %3 1+ Inx 4. у %3DIn 1+ 2lnø

Q: 3. Determine the derivative of y=7 with respect to x. Enter your next step here dy dx ab +- JT 00 ()

A: Given y=7

Q: 9 tan t Find the derivative of the function y = 2 + 2 sect dy dt

A: Explanation and solutions is given below....

Q: 9. The anti-derivative of the function f(x) = e² + cost is (a) e²+ sinx+c (b) e² - tanz+c 10. 0.5(x…

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Q: Find the firs t derivative of the f anction y=4sin[sselur)] at the Point x= T

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Q: dy Find the derivative of the function æ' In 3y = y sin 3x + e. %3D

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Q: 1.x3 = at?, find the second derivative of "x" with ,d²x respect to "t", 'dt2

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Q: evaluated at x = 0.001 and y = 0.002 Compute the derivative of the following: 5 g(x) =, 2.1'x f(x) =…

A: topic - derivative of a function

Q: Find the first derivative of f(y) = y (In³ y) A. 3 (In y + 1) B. 3 (In² y) C. 3y (In² y) + In³ y D.…

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Q: 1. Find the derivative of the following using implicit differentiation. TYON b. BARZ c. y = sec(x +…

A: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and…

Q: 4 the second order For the function y = 4 e" - - d'y is derivative dx? 4e + 8x-3 O 4e" + 4x-2 -3 O…

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Q: 4.62. Evaluate the derivative of the Gamma function and see dT'(x) r'(x) = dx ' (In t)e"'dt

A: To differentiate the gamma function:         Γ(x) = ∫0∞tx-1e-tdt Integral definition of gamma…

Q: 3. Find the value(s) of k for which y = e satisfies the equation y+2y' = y" derivative) (note: y" is…

A: k = 1+2, 1-2explanation is given in below step

Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

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

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: III-Déterminer la dérivée de : a) f(x) = lnx lnx + 1 III- Determine the derivative of: ex +1 J b)…

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Q: Q3: Find the first derivative of y= cos(x) at x= t/2 using a step size of h= Tt/12. Use forward and…

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Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x…

A: Differentiate with respect to x.

Q: Q3) Find the derivative of y for all functions the following (1) y = 0 (sin (In 0) + cos (In 0)),…

A: Since you have posted multiple questions, we have solved the first question for you, if any specific…

Q: Q2// A) Derivative following functions by using chain rule m 1) y = Vu, 2) y = 4u, -Va+1 Vx+1

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Q: Can you help me with this problem step by step?

A: Given that

Q: Q4/ Find the value of the following partial derivative (choose O 1- If w(x, y) = Ln(ey+/5xy)),find…

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Q: 12)Find the derivative of y with respect to z. Y= 6^(z^3) Dy/dx =

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Q: 5) y>10 (3v-1) (1+5w)

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Q: 2. Evaluate dy and Ay if x = 1 and dx = Ax = 1. 3. Find the equation of the tangent line at x = 1.

A: Your question contain only two which i have solved completely.

Q: Q2 find the derivative of the following: 1) y = 2sin?(5x) ,2) y = lnx'ncosh 5x ,3) xsin-14y = y…

A: See the attachment

Q: Q. No. 5. Find the Derivative of the Given fur a) y= ev1n x( Inx) +2x b) f(x) = %3D a+x

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Q: /4 Find the derivative of y with respect to t. (a) y = In(3te-1) (b) y = esin t (In t² + 1) (c) y =…

A: Given functions,  (a)  y=ln3te-1 (b)  y=esintlnt2+1 (c)  y=tlog3e(sint)(ln3) The objective is to…

Q: H.W: Use the chain rule to find the derivative of w= x² + y² with respect to t dw dt with x = cost +…

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Q: H.W: Use the chain rule to find the derivative === with x = cos² t, y = sin² t, z = - at t = 3 dw xy…

A: Solution :

Q: y = cos(r) fonksiyonunun birinci mertebeden türevini z = noktasında h = olmakla 3-nokta aranokta…

A: Given function is fx=cosx. We have to evaluate the first derivative of fx=cosx at x=π2 and h=π4. The…

Q: Can i get help step by step?

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Q: 8. What is the derivative of y= Vu in terms of x? dy a) 2/y dulas b) 2vu d) 2/u

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Q: can you help me step by step with this problem?

A: Find the derivative with respect to s.

Q: The derivative of y with respect to a given ¹ = 1 is Oy' = yx²-¹ O y'= 0 Onone of the choices Oy' =…

A: I have stated the used formula in the solution.

Q: 4) Find the total derivative of the function: a.f(x, y) = ex²+y² 1 c. T(l,g) = 2₁ 2TT. b. z = x siny…

A: Total derivative of a function f(x,y) is given by df=fx dx+fy dywhere fx=∂f∂xfy=∂f∂y

Q: 14. Find the derivative of y = e cosz %3D A. y' = -ecosx sin z B. y' = elinx cos x C. y' = -etinx…

A: Given,y=ecosxdifferentiating both the sides w.r.t. xdydx=ddxecosxUsing chain…

Q: A point is moving along the graph of the function y=1/8x^2 +3 such that dx/dt = 3 cm/sec. Find dy/dt…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: Find the derivative of y: 1- y = (cos 0)▼2

A: See the details solution in below

Q: H.W: Use the chain rule to find the derivative of w = x² + y² with dw respect to t dt with x = cos1…

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Q: 2. : Consider the function ry + cos y + x 2+ xy. (a) Find the derivative, dy/dx. (b) Find the…

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Q: Can i get help step by step?

A: We take ln on both sides and use logarithmic differentiation. Using the product rule and power rule…

Q: Let fx) - V4X-3 vux-3 %3D O Find the arer age rate o ofe change in respect to x aver the intoy vel…

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Q: (3) (a) Find dy/dx by implicit differentiation and evaluate the derivative at the given point tan (x…

A: a) The equation given is tan(x + y) = x The point is (0, 0) Differentiate both sides with respect to…

Q: (a) Find thẻ đéřivătivė. rivative. 1 y = In(x2 – 6) 3 dy dx (b) Find the derivative. 3 = INVX2 – 6…

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Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw respect to t (dr), with x =…

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Q: Find the derivative of y with respect to x: ,2 2 X'e y = log,2 x+2) Evaluate the integral: -1 cos…

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Q: 10. Compute the central difference approximations of O(h^4 ) for the first derivative of y =cos(x) +…

A: Solution is below

Q: 2. Find the linear approximation to y = sinh (3x) at x=2. State your answer in both exact form and…

A: Find the linear approximation of f(x) at a point x=2