Find y' 1. y = (x3-5x2)5 2. y = 3x-1+5x2

Q: dy/dx if y=tan((1-2x)/(1+x)) dy/dx if y=x^4 ln(3x-1)

A: 1)    y=tan1-2x1+x2)    y=x4ln(3x-1) Hint:  Chain rule and then uv and u/v rule of differentiation

Q: finf dy/dx by implicit differentiation when x^2=(3x+6y)/(3x-6y).

A: The given function is: x2=3x+6y3x-6y

Q: 3 y (sinhx) + sinhx 3 4. step1 step2

A:

Q: Find the 1st derivative: Complete Solution.  y=2cos2 t/2

A: y=2cos2 t/2

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

A:

Q: find nth derivative of y=x/(x+1)^4

A: To find the nth derivative of the function y=x(x+1)4=x+1-1(x+1)4=1(x+1)3-1(x+1)4

Q: 5. y= 2arctan(vx)

A: We need to evaluate the derivative of the following function y = 2arctanx

Q: Estimate the instantaneous rate of change of y(x) 4 at the %3D x+ 1 point x = - 2

A:

Q: 3. find dy/dx of y= sinh 2x

A:

Q: Find the first four derivatives of y = 4sinx. %3D

A:

Q: 5. Second derivative of y = 1+t)< t2

A: Given: y = 1+t2t2 To find: Second derivative of the given function.

Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

A:

Q: Find dy/dx by implicit differentiation X2 + 4xy - y3 =6

A:

Q: find y' by implicit differentiation. ex/y=3x-2y

A: To find the derivative of the equation using implicit differentiation.

Q: x3sec2y dy/dx+3x2tan y=cos

A:

Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: Find dy/dx of y=sin-(1/,). 9x-

A:

Q: Find dy/dx by implicit differentiation 7ysin(x2)=9xsin(y2)

A: Find dy/dx for the implicit function

Q: Calculate the second derivative y : Vx - /y = 1

A:

Q: √2xy dy/dx =1, given y=1 when x=1

A:

Q: Find dy/dx by implicit differentiation at point (0, 0) if x³y³-y=x

A: Here, x3y3-y=x

Q: Find dy/dx by implicit differentiation. x²y³ -yax dy/dx =

A:

Q: find dy/dx by implicit differentiation x3 + 4xy - 3y4/3 = 2x

A: Given: x3 + 4xy - 3y4/3 = 2x

Q: Differentiate. y =x° In x- dy II

A:

Q: Use implicit differentiation and solve for dy/dx if 6x+(x^3)y+3y^2=10.

A: The technique of implicit differentiation allows us to find the derivative of y with respect to x…

Q: 14. The first derivative of y = arcsin4x is а. -4 b. -4 C. d. V1- 16x? VI- 4x2 V1– 16x? /1– 4x* -

A:

Q: Find the Indicated Derivative dy 1. y = x5 - 3x* + 2x3 - 2x2 + 7x - 1, dx dy 2. y =x2+x-3 + 3, dx…

A: Given:- y = x5 -3x4 +2x3 -2x2 +7x-1 y =0.5x-2 + (2x-3/3) +3 To find:- dy/dx

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: 5. Find where y = In(cosh(2x)) + /sinh-1(2x) + tanh² (7x). dy dx

A:

Q: Find both first partial derivative Z = 15x x/y az az ду

A: As we know that: The the Power law: ddxxn=nxn-1 From the given problem: z=15xy

Q: Find anti derivative 3x^2(y^2+1)

A:

Q: Find dy/dx by implicit differentiation. x2y3 − 12xy2 = 6

A: To determine the implicit derivative.

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

A:

Q: Find dy/dx by implicit differentiation. 2x3 + 3y3 = 64

A: Given: 2x3+3y3=64 for finding dydx, we differentiate given expression

Q: Find dy/dx by implicit differentiation. 5x3 + x2y − xy3 = 2

A:

Q: Find dy/dx by implicit differentiation. 4x° + 9y3 - 62 dy/dx =

A: We use Implicit differentiation

Q: dy Exc:" of y = tanh (x5 – 5x)² --

A: Solution:Given         y=tanh4(x5-5x)2  To find dydxFormula:ddx(xn)=nxn-1ddx(tanh x)=sech2x

Q: Find the derivative of y with respect to s. y= sec -1(9s5 + 5)

A: To find the derivative of  y=sec-1(9s⁵+5)

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 the derivative of the function. y = -5e- - 4x2 dy dx

A: Solve for the derivative

Q: A) Differentiate y = 4Vx +- +1 8 6 B) Find the second derivative of y = 4Vx + 8 + 10 Vx

A:

Q: Find  dy dx  by implicit differentiation. x2y3 − 12xy2 = 4

A: The given expression is, x2y3-12xy2=4 Differentiate on both sides with respect to x of the…

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

A: Given :  5y sin (x2) = 9x sin (y2)

Q: Find (dy/dx) if y²-x?- sinxy =0

A:

Q: Find dy/dx at (-4,1) if xy=(8y/(x+2)). dy/dx at (-4,1) =?

A: Derivative of any function determines the rate of change of a function. It is represented as dydx if…

Q: Find explict solution of the foilowing initial-value problem dy yoanx?, yla)of %3D dx

A:

Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

A:

Q: 1 dy if y = dx -1 Find - tan 3x. dy dax

A: Use derivative formula

Q: Find the derivative of the function. 3 6. y3= 2 +/3 dy dx

A: The given function is y=9x3-2x2+3x+3.