7. Differentiate the following function to review unit two. a. b. C. y' = y' = y = t² + 1 4 - 3t² + 2 F(y) = (2-7)(y + 5y³) y = sec (0) tan(0)

Q: 6. Use implicit differentiation to find the following derivatives for the equation tan y = 4 +x?y +…

A: see below the calculation and answer

Q: 1.4 Use implicit differentiation method to find day of the function d²y dx² 1 + (xy)² = cot−¹(x y)…

A: Explanation:Product ruleQuotient ruleChain rule Power rule1.4) Given,differentiate  with respect to…

Q: 6. Determine the equation of the line that is tangent to f(x) = 4x – tan x where x =

A: The answer is found in step-2.

Q: 3. Let x² + 4xy + y² = 13. dy • Find dx by using implicit differentiation.

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

Q: Find y" for the following function. y = 4 cos x sin x y" = У'-‑

A:

Q: dy using implicit differentiation dx 1. Find а. Зху + 4x2 + 5y? %3D 5 b. y + 2x³y* + 2y² = 3x = 3y2…

A:

Q: 3. Estimate the derivative of the function, f(x) = cos x + tan1 x, at xi= 0.5 using Richardson's…

A: To find the derivative of the function fx at x=x0 by Richardson's extrapolation centered finite…

Q: Differentiate the following functions using INCREMENT method of differentiation: 7. y=9a²x+8b; where…

A: 7 y=9a2x+8b8 fx=3x-810x+79 n=5am+225a2m2-10am+4

Q: Find dy/dx if y = (*+*) А. 1 В. 2х + 2 D. 1/x C. 2x + 4 csc(2b) sec(2b) Find da/db if a A. 2sec (2b)…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: 5. Consider the curve defined by x² + xy + y² = 1 The graph of the curve is shown below. dy (a) Use…

A:

Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

A:

Q: Find all possible functions with the given derivative. y' = csc? 30 Select one: A.1 csc 30 + C 6 3…

A:

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: Calculate y' given y below. (a) xey = y − 1. (b) y = (cos x)^x (c) y =(√sin^3(√2x))

A: a). Differentiate separately both sides of the equation (treat y as a function of…

Q: 3. A circle exists whose equation can be written as y2 – 16y +x² – 10x = -64. a. Find for this…

A:

Q: Find y' for the function as shows below.   cos(xy)=x6-y

A:

Q: I ind the second derivative(y") of the following functions and simplify the final results. 1. y = x…

A: Differentiate using the rules of derivative.

Q: Oe. 0.5 20. If an equation of the tangent line to the curve y = f(x) at the point a = 2 is y = 4x -…

A: