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

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: sin² sin'x =-COSr 2. 0, 2.

A: To solve for x , where x should lie in the interval  [0,π/2]

Q: Differentiate y = (-6+sinx)/(x+cosx)

A:

Q: if x^2 + 3y^3 = 12, find dy/dx and evaluate (-2, -3)

A: To find the derivative

Q: hpxp(₂h + x)us hx [V² [V² Find

A:

Q: Find ∫e^(2x)sin(2x)dx

A: Given: ∫e2xsin(2x)dx

Q: y = () Зx2-2 х+3

A: I am using the chain rule to find the first order derivative of the given equation

Q: find (d^(2)y)/(dx^(2)). y=xcos(5x)-sin^(2)x

A: y=xcos5x-sin2x Differentiating with respect to x, we get…

Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

A:

Q: Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

A: 5sinx+7cosy=6Differentiate w.r.t x5cosx-7sinydydx=05cosx=7sinydydxdydx=5cosx7siny

Q: Find dy. y=tan-1(ex^10)   dy=(______) dx

A:

Q: Find if cot x +1 = sin y

A: Given, cot x + 1= siny

Q: Find and if dy dx² dy dx = 5 sec 0 and y = 5 tane

A: Given: x=5secθy=5tanθ

Q: What is g(In2)

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Answer: dy dx || 6 + 2x = = sin(xy²)

A: