art8e ch03s03: Pro Problem Problem List Next Problem f f(x) = 3x sin z cos r, find f'(x). x+2sinx)(-sinx)]+(-3sinx+3cosx) 3). ou can earn partial credit on this problem. ew My Answers Submit Answers e attempted this problem 3 times erall recorded score is O% ve unlimted attenmnts remaining

Q: S sin? (x)cos(x)dx

A: Let the given integral be y - y = ∫sin2(x)cos(x)dxLett = sinxdtdx = cosxdt = cosxdxSubstituting…

Q: dp Find dx given p(x) = (sin?(3x))(3x²-4*)

A: As we know that; The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g' The Power rule;…

Q: If f(x) = 5x(sin x + cos a), find f'(x) = f'(3) =

A:

Q: (5) If y = sin(3x) the find y"

A: We have given trigonometric equation  y=sin3x y'=dydx y'=ddxsin3x y'=cos3x·ddx3x y'=3cos3x…

Q: cos x lim z-n/2 sin (2x)

A: If limx→afxgx is in 00 form or ∞∞ form; then applying L Hospitals' rule we get:…

Q: 2 sin x f(x) = 2+ cos x find f' (x).

A: use ratio rule for finding the derivative of rational function.

Q: f(?) = (? − cos(?)) sin(?)

A:

Q: Show that arctan(tanh(x)) = sech(2x). arctan(tanh(x)) dx D²tanh(x)) %3D 1 + ])-: 1/cosh²(x) 1 +…

A: