dy Given that y = In 9x, find dz dy

Q: If x? + y2 = 100 and dy/dt = 9, find dx/dt when y = 8. (Enter your answers as a comma-separated…

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Q: Find dy/dx in terms of t if x=te^t , y=6t+6e^t dy/dx=

A: Use Product rule of derivative and find the derivative of x with respect to "t".

Q: dy xe dx to

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Q: xp %3D 0. dy %3D 18 + 9t2 dt xp for y = Find ||

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Q: Find dy/dæ in terms of t if x =t – t°, y = 2+ 4t dy/dx =

A: The differentiation of parametric form of functions can be done by using the formula,

Q: Find dy/dx by implicit differentiation. Væ + y = 9+ a²y dy/dx %3D Sub

A: Given: x+y=9+x2y2

Q: Using dy 3 =dx and dx = 0.03, what is dy whenx = 2? 2V3X – 2 dy i (Write as an exact decimal.)

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Q: Given f(x, y) (8a®y + 3xyf). Compute: dx?

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Q: Find dy/dx for y = J_1P+4 t2 dt t2+4 X. 3

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Q: dx x2+y?, dt dy 2, find dt dL when x = dt If L = V -5, and 7 and y = 6. dL dt

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Q: dy Find da if y = In(xiV1+ z° dy %3D dx

A: Recall: d(u.v)dx= u dvdx+dudx v d(xn)dx= n xn-1 d(ln x)dx=1x

Q: dy Find the value of at t = 1 if dx? Vt2 + t, y = t2 + 3 x = 4

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Q: Find dy far y= dx

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Q: dy Given that y = 5u+ 4 and x = -u', hence find dx

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Q: Find dy/dx and d2y/dx2 of x= t + 1/t, y= t + 1

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Q: Find dy. y=3 In (4+x) dy =D

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Q: dy Find the value(s) of dx at y=1 given that x2y+y2 5. ony A only -클 only 3. D 2/3

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Q: dy Given the function y = f(x) = sin(3x+ 4y). Determine dx %3D

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Q: dy Find dz If ze" + (Inz)y + y? = 3

A: Find dydx if xex+ (ln x)y +y2 =3 We will differentiate terms and then sum them up. So, ddx(xex) =…

Q: dy| Find dx\x=4 given that y = 7 – x². dy %3D i dx\x=4

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Q: Find dy/dx given that 10x = xe* +y %3D

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Q: Find of / dx and of / dy. f(x,y) = e(x+ y + 9) of / dx = df / dy =

A: Let f be a function of x and y. The expression ∂f∂x implies that partial derivative of f with…

Q: Find Dy/Dx given that y= x1-x

A: Given that y=x1-xwe have to find dydx

Q: Consider y=(x2+1)2x a) find dy/dx b)Evaluate y'(1)

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Q: dy d’y The order and degree of the DE + = 0 respectively, are and dx dx?

A: The order of a differential equation is the highest order derivative it contains. The degree of a…

Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: The given expression is y=sin(4x)1-x4. Find the derivative of the expression. The quotient rule of…

Q: dy for the given equation. dx Find exy + xy = 4 dy dx II

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Q: ay Differentiate implicitly to find x + y dy dx %3D

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Q: FIND dy AND d?y OF x= VI-t AMD y= t° -at dx

A: Given x=1-t , y=t3-3t

Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: dy Find the (explicit) solution for the IVP = x + e*, y(0) = 2. dx

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Q: Find dy/dx by implicit differentiation. V xy = 4 + x2y %3D y' =

A: The given implicit differentiation problem is solved below.

Q: dy Given that y = In 9x, find dx dy dx

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Q: dy Given y= 5e3X + sin x, -is dx

A: differentiate y with respect to x  with the help of differentiation properties we will solve the…

Q: dy Given that y = find . dz'

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Q: Given that y=ax , find dy/dx

A: To find the derivative of the given function

Q: dy dz 4 + Va Find for y =

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Q: dx Find the value of at y=1 if x=z³+4z and z= dy (y? + 2y)²/3.

A: Given,         x=z3+4z  and  z=y2+2y23

Q: dy 4 Find for y dx V10 – x?

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Q: dy y? y(to) = 0 2t dt

A: Given                  dydt=-y22t,     yt0=0

Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)

Q: Find dy/dx by implicit differentiation. V xy = 4 + x?y dy dx %3D

A: Given,             xy=4+x2y

Q: Use loganthmlc differentlation to find dy/dx. y = x, dy

A: The given function,      y=xx-2, x>0

Q: Given y is the square root of x. Find dx/dt when y=2 and dy/dt= 1.75

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Q: Given that y = ln |2² – 6 , dy 6, find dx In |x %3D

A: Differentiation is the process of determining the derivative of the function The given function is…

Q: dy Given that y = x°e", find dx dy dx

A: In this question, we need to find the derivative of y = x9ex

Q: Use Green's Theorem to evaluate |. (y? – 6y) dx + (y³ + 10y²) dy where C is shown below.

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Q: dy Given y = vx² – 5x, evaluate using delta process. - dx

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