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2014-07-10 08:53:52 -0600 received badge  Scholar (source)
2014-07-10 08:53:46 -0600 commented answer Replace a variable with a function

Thanks, it works!

2014-07-10 07:45:37 -0600 received badge  Editor (source)
2014-07-10 07:42:14 -0600 asked a question Replace a variable with a function

Hello i hope anyone can help me with the following problem.

i have the following code

T_w,y,T_m,k_f,rho_f,U_0,h_mstar,R, alpha, delta, Phi = var('T_w y T_m k_f rho_f U_0 h_mstar R alpha delta Phi')

T=T_w+y*(-2*(T_w-T_m)/delta+rho_f*U_0*h_mstar*cos(Phi)/k_f)+y^2*((T_w-T_m)/delta^2-rho_f*U_0*h_mstar*cos(Phi)/(k_f*delta))

u=-6*U_0*R*y*(y-delta)*sin(Phi)/delta^3

integralTu=integrate(T*u,y,0,delta)

now i would like to differentiate integralTu with respect to x (diff(integralTu,x)), but delta must be a function of x (i first defined it as a variable because of the integration).