Differentiate the following function to review unit two. a. b. C. d. 11 11 y = ²+1 4 - 3t² + 2 F(x) = (-7)(x + 5y³) y = sec (0) tan(8) y = 7 + sin x 7x + cos x

Q: Use implicit differentiation to determine the derivative of: tan? (xy² + y) = 2x.

A: Applying derivative with respect to x:

Q: 5) The following equation is known as "Folium of Descartes." Use implicit differentiation to find an…

A: We can solve this as follows:

Q: 14. Determine dy/dx if y is a function of x defined implicitly by sin(x? + 2y)

A:

Q: QUESTION 6 Integrate the following function: ( sec (2x) xp- tan(2x)

A: To evaluate ∫sec22xtan2xdx

Q: 10. Determine the amplitude, the period, the phase shift, and the vertical shift of the y = -4 sin…

A: The given data is: y=-4sin2x+30∘+1 And  y=sinx

Q: 1. y = sin(4x) 2. y = sin(4(x - )

A: We need to find period of given function.

Q: 1. Differentiate each function. (a) y = V6r* – 12 (b) g(x) = (cos 0 sin 0)ª (c) f(z)= sin°(3r) %3D

A: We have to differentiate

Q: Which of the following is the derivative of the given function y? sin 8 1+ cos 1+ cos 8 sin 8 y = 2…

A:

Q: 15. Consider the function y =-2cos 2t – 3 a) Determine the amplitude, period, and phase shift b)…

A:

Q: a. b. C. Find the derivative of the function. y = sin(tan(7x)) Find the derivative of the function.…

A: According to Bartleby answering guidelines, we can answer only first three subparts. Kindly post…

Q: E. (DERIVATIVES OF TRIGONOMETRIC FUNCTIONS) 1. If f(x) = secx + 3 csc r, then 2. If g(x) = x² sinx -…

A: To find the derivatives of the following functions.1 fx=sec x+3 csc x2 gx=x2 sin x-3x cos x+5 sin x

Q: given function then derivative Now dz dr dz d४ sing rcass-38³ He Have to find it's dz dr = dz 5 = 5…

A: We have to transcribe the given text in the digital form.

Q: Find y by implicit differentiation. Match the equations defining y implicitly with the letters…

A:

Q: 4. z(w) = –13 sin(w) + 11 tan(w) – 5 sec(w) 5. b(y) = 4 ln(y) + 2"

A:

Q: B. Find the period, amplitude, and vertical and horizontal shift of the following: 1. y -2cos(x) -1…

A:

Q: 11. Write true if the statement is correct and false if the statement is incorrect. Given the…

A:

Q: Question 7 Calculate the derivatives of the following function sin- (x/x). -1 cos (xVx 3 1-x3 1 2 -1…

A:

Q: 3) Given y = sin x. State the domain and range (#2,1) (x.0) (2x, 0). (0,0) (3x2-1) Domain = Range =…

A: We have given  y=sinx Domain is the values of x for which a function is defined. y=sinx is defined…

Q: 1) Find the derivative of the following trigonometric expressions below. Please show all of you work…

A: A)y=sin x+ cos x -3x2dydx=ddx(sin x)+ddx(cos x)-ddx(3x2)dydx=cosx -sin x -6xB)y=-12…

Q: Find the derivative of the following function and simplify as much as possible: f(x)= In(cos(2x)) a.…

A: Use the chain rule of derivative and simplify the result.