All Sections 1) Solve the following equations for t Jy evt = 2) Find the derivative of y with respect to x a) y = 10ce5 - 2e5r b) y = (48x² - 24x + 6) e¹x c) y = ex (cos(4x) + sin(4x)) d) y = ln (6xe-6) 3) Evaluate the integral a) f14e7+5 dx b) fev da dx

Q: 2) Find the derivative of a) y = (x-2x4)5 (sin 2x). etanx √3x6-sec 6ex √8x+In x d) f(x) = cos(x¹ -…

A: (a)   Given    y = x-2x45 sin 2x             ⇒  y' = x-2x45 2 cos 2x +sin 2x 5x-2x441-8x3…

Q: Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e*.

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: Compute Each Derivative: 1) d tan¯¹ (1 + e²x) dx 2) x²cos-¹(3x4) d dx 3) x(sin-¹(x))² dx

A:

Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

A:

Q: 4) More Complex Differentiation: Differentiate and simplify the following functions a) g(x)= rcosx…

A: