dy Let y=e* sin 3x. Show that 3e-2* cos 3x - 2y. dx -2x d'y = -13y-4- dr Hence show that dx

Q: y(x) = tan{/3x² + In(5x*) - In(5x'

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

Q: Let y = tan(4x + 6). Find the differential dy when x = 3 and dx 0.1 %3D Find the differential dy…

A: Explanation is given below...

Q: Let y=tan(4x+6)  Find the differential dy when x=1 and dx=0.1  Find the differential dy when x=1…

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Q: dy B) Find for all the following dx 1) y = sin-13x 2) y = In(5x) 3) y = Vtanhx

A: Solution: As per our guideline we are supposed to answer only first three question please repost…

Q: Use Green s theorem to evaluate the give (y² dx + 8xy? dy)

A: In this question we will use basic of calculus i.e concept of integration. We will use green's…

Q: Find dy for all of : dx 1- y = x/Inx у

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Q: dy -is: then dx cos. cos x Q21. If y = tan 1+sin x

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Q: Let y tan 1)2x then dy/dx at x-1 is

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Q: dy Find for three only: dx 1) y = In(cos x . Inx²)

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Q: ecsch(ry) + Tr° -cos(0)

A: Let's find.

Q: Find if y = In x5 + e¯cos2x – lIn e?. dx | dy_5, esin²x-cos²x 4 sinx cos x dy 5 %3D dx e cos²x-sin²x…

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Q: dy Find by implicit differentiation. dx - 20x = 20 - eY dy %3D dx (Type an exact answer.).

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Q: dy - år if y = In (sinh 50) and x = cosh 40 dx

A: Solving the problem by doing the derivative.

Q: Find a result by using exact for (sinxcosy)dx = -(cosxsiny)dy = 0 b. (x-6xy + y² + 10)dy = -(x² -…

A: I am attaching image so that you understand each and every step.

Q: Let y tan(2x + 2). || Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

A: We have to find the differential dy

Q: Let y = tan(4x + 8). Find the differential dy when x = 4 and dx = 0.3 %3D Find the differential dy…

A: ? 1.2sec224 ?2.4sec224

Q: Let y tan(4x + 6). Find the differential dy when x = 5 and dx = 0.2 Find the differential dy when x…

A: Given : y = tan(4x + 6)   To find the differential dy when x = 5 and dx = 0.2 Also to find the…

Q: Find dy dx 21) tan y = eX + In 4x eX + 4 A) - sin² y хeх + 4 B) - xcot y

A: Given;  tany=ex+ln(4x).

Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

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Q: gin (t) et dt

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Q: dy Find for y = - 19x+3 cos x. dx dy

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Q: find dy/dx where y=sin^3x+cos^6x

A: Given:

Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

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Q: find dy of X sin 2y =YCO52X

A: Given: x sin 2y=y cos 2x To Find: To find dydx.

Q: Find dy/dx: y = sin (In x²). A 2 cos (In x²) (B) 2 cos (In x²) / x

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

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Q: 5. y = l 1- co s x 1+co s x

A: We have to find out dy/dx for given y

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

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Q: Let y = tan(4x + 7). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: find dy/dx if(cosx)y=(siny)x

A: Given: -

Q: cos(2y - x) = 3ysin x

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Q: dx y of y = cos 1 (In (xy)) Find %3D CoS dy

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Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: B. Verify that dz/dy dz/dx 1 =. If xy + z = sinz.

A:

Q: Let y = tan (3x + 3). Find the differential dy when x = 3 and dx = 0.4 Find the differential dy when…

A: Given is the function y=tan(3x+3) We need to find the differential dy when x=3 and dx=0.4. and…

Q: Solve the Linear DE dy/dx = 1+ 3y tan x

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

Q: Let y = tan(5x + 6). Find the differential dy when x = 5 and dx = 0.2 Find the differential dy when…

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Q: dy Find by implicit differentiation. dx 14 In x= 18 - In y dy dx (Type an exact answer.)

A: Consider the given expression 14ln x=18-ln y.

Q: Intergrate dy (2y-x) =In Co)

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Q: dy Find dx if y = a (sin (1))". dy

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Q: dy/dx of y=5^cos(3x+5)

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Q: Find dy/dx.   e4x=sin(x+3y) dy/dx=

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Q: Let y = tan(3x + 4). Find the differential dy when x = 4 and dx = 0.4 Find the differential dy when…

A: We know that, ddxtanx=sec2x We have,  y=tan3x+4 On calculating derivative with respect to x, we get…

Q: Let y=tan(3x+3). Find the differential dy when x=5 and dx=0.3  Find the differential dy when x=5 and…

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Q: y = In(x +1)

A: Given that : y = ln(x2 + 1). Find dy/dx  We know that derivative of - d(lnx)/dx = 1/x. And d(xn)/dx=…

Q: Find dy/dx in terms of x and y if cos² (4y) + sin“(4y) = y + 8. %3D

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Q: dw Find dx where w = cosz- cos 4x cos'4y + sin 4x sin 4y and z= 4x+ 4y. dw 口

A: lfirst put value of z and then expand cos term Now we get Zero whose derivative is zero

Q: Find dy/dx if y = In (tan(x).3$ec(x) + /sin (x³)

A: given,