y = sinx from x = = to x = n and the x axis 2

Q: dy Find by implicit differentiation. dx х3 + уз + 3у — 2 %3D0 + Зу — 2 %3D 0

A: f=x3+y3+3y-2 By implicit differentiation dydx=-∂f∂x∂f∂y ∂f∂x=3x2∂f∂y=3y2+3

Q: dy tanx (4) Find if y = (sec x)" dx %3D

A: Here, we have the given function in the form of a variable raised to the power variable. Therefore,…

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

A:

Q: Use implicit differentiation to find dydxdydx without first solving for y. x^4+y^4=−2 dy/dx=?

A:

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

A:

Q: dy Find using implicit differentiation. dx 2x = 5y +7y 3 %3D

A: Given:  2x3=5y2+7y Now differentating on both sides with respect to x        d2x3dx=d5y2+7ydx…

Q: dy Find where y = sin²(V3x²). dx

A:

Q: dy Find by implicit differentiation. dx 2x2 + 2y2 = 17 %3D

A: Topic = Derivative

Q: integral of sin^6 y cos^6 y dy

A:

Q: cos y` +y = tanck) %3D

A:

Q: Find fy ) for (x,y) Cos (x) sincy) exy

A: Given query is to find the partial derivative of the expression with respect to y.

Q: Find the linear approximation of the function at the given point. f(x, y) = 4 sinx - 6 cos y at (0,-

A: Given,           The function fx,y=4sinx-6cosy  at  0,π2.

Q: sin(y)dx + cos(y)dy = 0 by exact

A:

Q: Integral of sin^3 y cos^5 y dy

A:

Q: Find the derivative. 2 y= 6x +9 %3D dy %3D dx

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

Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: Find the directional derivative of f(x, y) = V5x + 3y at the point (0, 2) in the direction 0 3…

A: f(x,y) = 5k+3yt point (0,2)in direction θ= 5π4 radiusto find directional derivativesolution1)…

Q: Calculate the derivative. y = cos 3x In (cos ²3x) y' =D %3D

A: We can find the derivative as below.

Q: Find the length of the curve f(x) = ln(sin x), 0 ≤x ≤π/6.

A:

Q: followin COSX 3. f- dx 1+sinx 4. f (sinx + cos x)² dx 203 (y² +1) 20 dy 5. f

A:

Q: Use differentiation rules to find y' = dy/dx.

A: To determine the derivative of the function.

Q: Find dy/dx by implicit differentia tan(x – y) 2 + x2 y' =

A:

Q: 5. Use Implicit differentiation to find dy when y V x2 tya = 15x° +4siny 3

A: Using implicit differentiation find dydx for;  yx2+y2=15x3+4siny

Q: Q) - Find of y = sin de dy ! -11

A: Siny = 1/x.

Q: y'' + 3y' + 2y = sin ex

A:

Q: Find the equation of line tangent of sin(2x) cos(3x)+ sec(x) TC At x = 6. %3D

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Q: 3 y = Vx +=+ sinx %3D

A:

Q: The average rate of change of the function y = sinx over the interval [0, ]is 4

A:

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: Use differentiation rules to find y' = dy/dx.

A: Consider the equation

Q: hind dy if y = sin(x")

A:

Q: If Va + Vy = 6 and y(25) = 1, find y' (25) by implicit differentiation. %3D %3D

A:

Q: dy Find by implicit differentiation da 3 + 4x sin(ry°) %3D dy %3D dr

A: Solution is given below:

Q: Integrate by parts: ex sin x dx 2.

A:

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: sinx2 dy Find dt

A:

Q: Use differentiation rules to find y' = dy/dx.

A: Given,

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

A:

Q: Use differentiation rules to find y′=dy/dx   y = 3 · cos5 ( x − 4/x2 )

A: We apply the power rule then apply the chain rule

Q: dy Use implicit differentiation to find dx ycosx+xsin y+10 = 0 %3D

A:

Q: Test for homogeneity

A:

Q: Cosx 2) ). y dx+ týž - Sinx (²) dy = уч

A:

Q: Find where where y = V5x + sech¬1 x + In (tanh(x² + 3)). dx

A:

Q: find the deoree of Precition. O fool F(x)= X

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Q: cos z dz ar gral f

A:

Q: dy Find where y = sec-' (V3x³). dx

A:

Q: dy ) Use implicit differentiation to find · dx' у2 — уе* — х Iп у%3D12

A: Implicit Differentiation:

Q: Use differentiation rules to find y' = dy/dx.

A: Given function is