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: 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: xey y sen x

A: We have to find y' .

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: 3. y sinx + 2x²³ COSX 5. f(x) = 5sinx + cosx

A: (3)  y=sinx+2x-3cosxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(ab)=bdadx-adbdxb2

Q: tan(xy) + xy = 0

A:

Q: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy

A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

Q: 2. Fill in the appropriate derivative rule information for the function y (2-e")V6x-1 in the table…

A:

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

A:

Q: 28. tan(x + y) + sec(x - y) = 2, (π/8, π/8)

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: 2. Find the derivative of the function. y = e* In (sinæ)

A:

Q: 1. a) Copy and complete the table below: Original Function First derivative Second Derivative y =…

A:

Q: Find the indicated derivative. Find y " if y = 9 sin x. O y" = - 9 sin x O y" = 9 cos x O y" = 81…

A:

Q: 12. Find the derivative of the following function. y = 71n(x -4) a. x3-4 b. Зx? х* c. d. 21x?

A: To find the derivative of the below function.          y = 7ln[x3 – 4]

Q: Find the derivative y' for each of the following curves or functions. You do not need to simplify…

A: Given Expression: y=1x3-2ln(x)+5x4        .........(1) y=ex-4x-3(2+x     .........(2) y=2x2-4x+17x+4…

Q: 5. Find the derivative of --( 1 + sin 0 cos 0

A: