I got this question wrong on a test, I know I set up my expression incorrectly but I don't know how/where. Can I please ask that when you reply, to include as much detail as possible so I understand how I went wrong?

use the functions below to (a) express dw/dt as a function of t, but by using the Chain Rule and by expressing W in terms of t and differentiating directly with respect to t. Then (b) evaluate dw/dt at the given value of t.

w=z-sin xy, x=5t, y=ln(t+11), z=e^t+10, t=-10

dw dw Use the functions below to (a) express dt as a function of t, both by using the Chain Rule and by expressing w in terms of t and differentiating directly with respect to t. Then (b) evaluate dt at the given value of t. w=z - sin xy, x = 5t, y = In (t+ 11), z=el+ 10, t= - 10 dw (a) Express dt as a function of t. dw dt ,t+ 10 -5 cos (5t In (t + 11)) |In(t+ 11) + t + 11 dw (b) Evaluate dt - at t= - 10. dw dt It= -10 = 51 (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize the denominator.)