アrova solution to if ulx,t)= (sin (x- 6 )-Sin (x+6)) tion equa %3D

2) Find the derivative of a) y = (x − 2x4) 5 (sin 2x). etan x |3x6-sec бех 8x+lnx b) y = c) y = 1 X d) f(x) = cos(x¹ - sin x)³

Find the first derivative r(t)=csc(5t/(t+1))i+(1/(1-t^2)^(1/2))j+(t^2+2t+1)k

Find the directions in which f increases and decreases most rapidly at point P. Then find the derivatives of f in these directions. f(x, y) = 3x? + 2xy+ 4y², P = (7,8) Direction of fastest increase is Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is f(х, у) — х? у + е2хy sin(y), Р 3 (-3, 0) Direction of fastest increase is Direction of fastest decrease is Derivative in the direction of fastest increase is Derivative in the direction of fastest decrease is