Let y = sec (3x)V 361 cos (3x) + 646 + 289 sec (3x) , 0

Q: can i get step by step help please

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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

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Q: 14. S 5 sin 3x cos 3x dx 15. ſ tan? Ode

A: We can solve the given integral as follows:

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A: Differentiating the equation with respect to y.

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A: Implicit derivative dydx of sinx2y2+y3=x+y

Q: Find dy/dx by implicit differentiation. xey = cos(x2 + y2) + sin(xy)

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Q: dy by implicit differentiation if dx 3 9. = 1. Find - -

A: The given function is 3y+9x=1

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A: Given: sinxy=cosx+y Differentiate both side:…

Q: Find the derivative of cos(0)d0. du Jo cos(0)de = cos (w²) · 2w • d de So" cos(8)d0 = cos(2w) • d S…

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Q: Find the derivative. х10 cos yt dt y = A. sin (x) B. cos (x$) – - 1 C. Cos (x*) D. 10x° cos (x°)

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Q: Find the derivative of y with respect to 0. y = In (8 cos 2e) dy %3D de

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Q: Assume that y = sin-1x is a differentiable function of x. By differentiating the equation x = sin y…

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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: Evaluate the derivative of a mq4.5.png cos (bvx ³) f(x) = a ln sin(cx²) if a = 107, b = 0.5, and c =…

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Q: Find the derivative of y with respect to x. y= sin -3 O A. XV1-x - 3 O B. 1+x - 3x 3 c. 1-x -3 O D.…

A: Given that: y=sin-11x3

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Q: Find the derivative of y with respect to 0. y = In (4 cos20) dy de

A: Given, y = ln4cos2θ  We have to find dydθ

Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

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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: 2x + 2y %3D 1. Use implicit differentiation to find dy/dx for ey

A: GIVEN ex2y =2x+2y

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Q: Evaluate the second derivative of mq4.5.png os (bVx³) f(x) = a ln sin(cx2) if a = 21, b = 0.5, and c…

A: Given that, f(x)=alncosbx3sincx2a=21, b=0.5, c=5Substituting the values of a, b and c, we…

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

A: Solution

Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x;…

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Q: Whatis the derivative of y = sin (2x − 1)? dx = 2 cos (2x - 1) dy dx = cos 2x dy -2 cos (2x - 1) cos…

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Q: The third derivative of y = sin(2.x) is (A) None of the given choices B y" = 8 cos(2æ) © y" = -8…

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

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

A: Given, y= tan(5x+5) Therefore, dy/dx = sec²(5x+5) .d(5x+5)/dx dy/dx = sec²(5x+5)*5 dy= 5sec²(5x+5)dx

Q: Find the derivative. d | dx + 0 OA. x³ sin (x¹) +5, ○ B. sint dt C. 4x³ sin (x4) - cos (x4) - 1 D.…

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Q: dy Find by implicit differentiation. d x e COs x e2y

A: Given query is to find the dy/dx using implicit differentiation.

Q: is The third derivative of y = cos 3 1 sin 27 1 a) y" b) y" =- cos %3D %3D | - 3 27 3

A: The given differential equation is : y=cosx3   -1

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Q: ind the derivative of y with respect to x. y =-cos-16x + 7° 6 6. 1 + (6x + 7)2 81 - (6x + 7)2 O 4.…

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Q: Find dy/dx by implicit differentiation y cos x = 2x? + 5y2

A: Given,           ycosx=2x2+5y2

Q: Evaluate the second derivative at the given point. dy If dx = 3 ey + x2, find at (4,0) dx2

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Q: Find dy/dx by  implicit differentiation for: Sin(x+y)=y^2cos x ANd  Sec(xy)+e^y=3x-4

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Q: 2. In each case, find the derivative d. (a) z = x³ – y² and x(t) = cos 2t and y(t) = e-3t, (b) z =…

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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: In (3x) Find the derivative of y with respect to x if y = sin (7 e') dt. %3D dy dx

A: Given y=∫0ln3xsin7etdt.We need to find dydx

Q: Find the derivative of y with respect to x. y = tan -1V3x O A. V1- 3x 1 O B. 2(1 + 3x)/3x 3 Oc.…

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Q: Find the first derivative 1. y = In v4-x2 %3D 2. In(x2 + y2) + 4arctan = 5 y %3D dy x+4 3. Find , if…

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Q: Find the particular anti derivative that Satisfies the following conditions dy 4x +3 ; y(1) = 8 dx…

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Q: The second derivative d^2y/dx^2 of y^3 = xy + 1 at the point (0,1) is

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