Compute the following derivatives. Show all your work and indicate which differentiation rule(s) you have used. TeT f(x) = xe* +sin )), Find f(0)- COS 2 (а) Let (b) Consider the implicit equation cos(x² + xy) + xy2 = x + y. Find yº,e (c) Let v: (-5,5) → (-5,5) be a differentiable function such that v(-1) = v(1) = 1 and v°(-1) = v°(1) = -4. Let g(x) (v(x))*+10 + (x + 10)^), Find gº(1).“

Q: a).y³ - 5y= 5x² + 7 point: (1,3)

A: According to the Bartleby guidelines we are supposed to do the first one of multiple questions…

Q: FQ3 - Please help with this question - thank you!

A:

Q: Find y" in terms of x and y. You must use implicit differentiation for this problem. 1- xy = x – Y

A: Given : 1-xy = x-y

Q: For the equation given below, evaluate y' at the point (2, –1). y'at (2, -1) = e³ + 10 − e¯¹ = 2x² +…

A: To find derivative of the given function.

Q: Find the derivative of f (z) = (2²-32-9)" by following these steps. You may assumey-(e) Identify the…

A: The given function is

Q: b) y² + sin(y) = 2x6 point: (3,0)

A: Given that,(b) using implicit differentiation to find at the point