If y = sin (m sin^-1(x)), find the value of yn(0).

Q: Find dy/dx by implicit differentiation. (cos TX + sin Ty) = 18

A:

Q: Solve 2 sinh(x)– cosh(x)= 5 by using the definition of the hyperbolic functions.

A: We know thatsinhθ=eθ-e-θ2coshθ=eθ+e-θ2

Q: 12. cos cos (xy) = 1+ sin y

A:

Q: Find Dxy for y = sinh-'(x5)

A:

Q: Find the derivative of the function. y = sin (7) + √sin (6 x) y'(x) =

A:

Q: 1) Find 4 by implicit differentiation given 4 cos x sin y = 1. dx

A: Differentiate above equation with respect to x.

Q: If Sin-'x= Iny, show %3D ( l-xx) day - dx d X 2 x dy =y

A:

Q: 1) [(sinh 2x + cosh2x)° dx

A:

Q: Solve for the derivative Arc sin + Arc cos =0 y y

A:

Q: 을 [ ] d dx tan-1(x)| 1+x?

A: To find derivative of arc(tanx) , we have to use some trigonometric identities and basic inverse…

Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: I need to find the derivative of the function f(x) = cos-1(ln(sin(3x+1))) but I am unsure how to…

A:

Q: Find dy/dx by implicit differentiation. 5 5 y3 dy/dx = (Express your answer using positive exponents…

A: We have given 5/x^3 + 5/y^3 = 1

Q: Evaluate: S Arctan 2 sin²x dx . Arctan 1 cos+x

A: Given,  ∫Arctan1Arctan2sin2xcos4xdx

Q: dy Find by implicit differentiation. 20x = 20 - ey ... dx (Type an exact answer.)

A:

Q: Find the derivative dy dx of the function y = sec +√4+ sin (4+x²) + x²)).

A:

Q: find integral sin 5 x  cos 2  x dx

A:

Q: Find dy/dx by implicit differentiation. x4 + yA 5

A:

Q: Show that d /dx  arctan ( tanh x ) = sech 2x

A: We have to show that ddx(tan-1tanhx)=sech2x

Q: Find ∫cosh 2x sinh2 2x dx.

A: To find the value of the integral∫cosh2xsinh22xdx

Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: 2.Find , if y = sinh x %3D dx' 1+cosh x

A:

Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

A:

Q: S sin* 2x dx 4

A: The complex form of integral can be converted to simple integral…

Q: Find dyldx by implicit differentiation. 9 + x = sin(xy²) dyldx =

A: The objective is to find the derivative by implicit differentiation.

Q: Va2-x² Y=Arc sin + а

A: Differentiate wrt x

Q: sin“ (x)dx 4

A:

Q: Find cosh æ In(sinh x)dx.

A:

Q: Use sin 0 = 0, sin = 1, and sin t = 0 to estimate sinl E) (Round your answer to three decimal…

A:

Q: Find dy/dx by implicit differentiation 4 cos (7r) sin (6y ) 5

A: We have been given an implicit function and we are supposed to find dy/dx.

Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

A:

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: Find y' by implicit differentiation: 8 cos(ry) + x4 = yª

A: Given: 8cosxy+x4=y4 For finding derivative of given expression, we differentiate given expression…

Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

Q: Find dy/dx by implicit differentiation. 4+6x=sin(xy^2) + y

A: Answer and explanation is given below..

Q: 3. y = sin¬(1+x²)

A:

Q: Find dy/dx by implicit differentiation. 3x +у - 2 + х?у? У 3

A:

Q: by implicit differentiation. 8. Find dx sin(xy) = 1+ cosy,

A:

Q: Find dy/dx by implicit differentiation. 5y sin(x2) = 9x sin(y2)

A: Given :  5y sin (x2) = 9x sin (y2)

Q: Find all extreme values for y=x+sinx^2 over [0,π]

A: Given,  y = x + sin2x  We have to find the extreme value in the interval 0, π

Q: Find (dy/dx) if y²-x?- sinxy =0

A:

Q: Integrate: cos Gx) – sinh(2x)]g

A: As per our guidelines only one question can be answered.Please repost the next part in next…

Q: Find dy/dx by implicit differentiation   4Sin (x2) =x Sin (y2)

A:

Q: · Find dy/dx by implicit differentiation. 6. 2x? + ху — у? — 2

A:

Q: Find dx if 2 siny dy 3 Log (y1)

A:

Q: -Find for: y= sinV1-t dx

A: We have to find dydx for y=sin-11-x4.

Q: y = k2 (Arc sin) – xvk2 – x² where k is a constant.

A: