sinh (:) dz dy dx

Q: =D{sinh(2r) – ţa dy/dx agi

A: We know that sinhx' = coshxx' = 1 and (f(g(x))' = f'(g(x))g'(x)

Q: d. sinh - u = 1 du dx V1 + u? dx

A: To find the derivative

Q: find dy / dx by implicit differentiation.

A: In implicit differentiation, on differentiating y, we use dy/dx.

Q: dy using implicit differentiation. dx Find

A: We have to find dydx using implicit differentiationcos(xy)=y3x4

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: Find dy/dx by implicit differentiation. 4x2 + 3xy - y? = 2 dy/dx =

A: We have to find derivative

Q: 1. (4 - y?)dy dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: S" S"(sinx + cosy) dx dy

A: our objective is to evaluate the integration

Q: Find dy/dx if y2=x2+sinxy

A:

Q: (d) y = sin(Vx) sinh (In x)

A:

Q: 3) еУsinx dx %— cos²x dy

A: Differential equation

Q: find dy/dx if y = sin-1(1/x)

A: Here given as

Q: Find dy/dx if  y2= x2+sinxy

A:

Q: Sinh) esechct) dy

A:

Q: Li S cos(x)esin(x)-2y dxdy

A:

Q: Find dy/dx, where xsiny +ysinx=1.

A: Given - xsiny+ysinx=1 To find dydx Here we will use the following formulas- ddx(uv)=udvdx+vdudx…

Q: tanx dx = -In/secx|+C^O .BO In|secx|+CO In/cscx| +CO -In|cscx|+C°O .D

A: We need to evaluate the following integral I = ∫tanxdx

Q: 23. Lx? sin y dy dx

A: Given: ∫-11∫0πx2sinydydx for finding given integral we integrate one by one

Q: Find dy/dx if y= ln(6x2 + 5y2). dy/dx=?

A: dy/dx = 12x / (6x2 +5y2- 10y)

Q: find dy / dx by implicit differentiation.

A: Given equation is x4y-8xy+3xy2=9. To find dydx. Solution: Power rule of differentiation states that:…

Q: Find if y = e* In(sinh x) dx

A:

Q: arctanx e dx (1+x²,"

A: The given problem is to evaluate the given integral. We have to evaluate by using substitution…

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

A:

Q: Find dy/dx by implicit differentiation. (sin Tx + cos TtY) = 60

A:

Q: - Si * dx dy

A:

Q: If y- sinhx then prove that dy dx

A:

Q: dy/dx of y=sec^-1 (5x)

A:

Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

Q: for the equation dx ecosh-(x) = In(x) sinh-(y) Find %3D

A: Using differentiation of   product rule and implicit differentiation,

Q: 4- cosh x2 dy + (sinh x)y = e-* dx

A:

Q: +(g-1)dx -t +(2xy-Siny]dy=o

A:

Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: Sinhx cosy dx = coshx siny dy

A:

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

A: We have to evaluate given integration.

Q: If y = (sin-' x)², show that (1 – 2*) dy dr? dy 2. dx

A:

Q: Find dy/dx by implicit differentiation. (cos Tx + sin ny) = 80 dy/dx : %3D

A:

Q: Solve dy : dx y In y

A: We solve the given problem by substitution

Q: Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

A:

Q: Find (dy/dx) if y²-x?- sinxy =0

A:

Q: Find dy/dx by implicit differentiation. (cos TX + sin ny)³ = 26 dy/dx =

A: Differentiate above equation with respect to x

Q: dy dx by implicit differentiation. 9. Find sinx +Scos 3y = 4

A:

Q: 12) / Зy sin(5y?) dy

A: Solution:

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: 3- Coshx dy +ly sinh x +e) dx

A: We have to find the solution of differential equation

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: I = Si S (x² + y³) dy dx.

A: