Hi, I was hoping someone could help me out with my homework set. I have done alot of the questions, and it would help if someone could tell me if I have done them correctly. Thanks! :) Q1: Find first derivatives for the following functions (a)g(s,t)=sin(st^3) g_t=δg/δt=δ/δt*(sin(st^3))=t^3cos(st^3) g_s=δg/δs=δ/δs*(sin(st^3))=3st^2cos(st^3) Just wrote that out full for working, will shorten now (b) f(x,y)=x(y^3)+(2x^4)y f_x=(y^3)+8(x^3)y f_y=3x(y^2)+2(x^4) (c) g(r,x,z)=rsin(zx) g_r=sin(zx) g_x=rzcos(zx) g_z=rxcos(zx) (d) e_(X1,X2....Xn)=sqrt(X1^2+X2^2....Xn^2) only write down one generalised partial derivative with respect to Xi I am not sure how to approach this one, help would be great I also am not entirely sure if I am somehow meant to put the two partial derivatives back together to get the complete first derivative? Q2: y(x,t)=Asin(kx-wt) where w=(pi/2), k=pi, A=5 (a) find rate of change of y wrt to t at x=1, t=1 δy/δt=-Awcos(kx-wt) =-(5/2)pi*cos(pi/2) =-7.851 (b) find rate of change of y wrt to x at x=(1/2), t=1 δy/δx=-Akcos(kx-wt) =-5pi*cos0 =15.708 If anyone could tell me if im on the right track with these questions, and help out with Q1 (d), I would be super appreciative.