Without doing any initial algebraic manipulation, select all the functions for which you would use implicit differentiation to find dy dx O e²x + 2x-3=y y = (x²+3)(sin(tan-¹(√2x² + 1))) eln(x) Ox=2y² +y*cos(y) 0x2² +2²=1 4 O sin(x)+sin(y) = y

Q: The first derivative of y = cos(3x-8) is O a. - sin( 3x-8) O b. 3 sin( 3x-8) O. - 3xsin( 3x-8) O d.…

A: Given function is, y=cos3x-8.   It is differentiated as follows: dydx=ddxcos3x-8

Q: Find the first derivative x2y + y2-2xy =5                   Use implicit differentiation

A: The given equation is x2y+y2-2xy=5. Assume y is a function of x. By implicit differentiation, find…

Q: cos 2y + 2x3 = 5 − 4y2ex

A:

Q: Use implicit differentiation to solve the following questions.  x^2-2xy+5y^2=6

A: Given:- x2 - 2xy+5y2=6 To find:- Use implicit differentiation to find dy/dx

Q: Use implicit differentiation technique to find ,if 8z sin y= 5xy+ 2a Answer:

A: In implicit differentiation, we differentiate each side of an equation with two variables (usually x…

Q: Determine the derivative dA/dx if cos²x sin(x²) 7x3 tan x A = sin 3x In x² 2x² +8 e¹-2x] 52x+1]

A:

Q: Step 2 Now write the derivative in terms of x by recalling that u = x³ = x + 8. [eu] = (eu) du dx…

A: I have solved step by step in detail....go through the solution

Q: Find y" by implicit differentiation. 3x + y =5 3r y

A:

Q: Use implicit differentiation to find dy/dx given the equation x + sin (xy)=x2

A: According to product rule of derivative, for u and v functions of x. (uv)’=u’v+uv’

Q: b) Use implicit differentiation to find dy/dx of y² : X-1 x+1

A: Using implicit differentiation & quotient rule.