Equation differentiation and substitution

Sorry if the question has been asked before.

I have two equations, such as

lts=22*(ss/mor)^2.2/(w*(29+N^0.4)) .... equation 1

N=(22*(ss/mor)^(-2.2)/(w*lts)-29)^(5/2) ..... equation 2

where ss, mor, w, lts, and N are variables.

the solution is to diffrentiate the first equation with respect to N then subsititue the second equation in the resulting equation from the differentiation process. Please, could you suggest a solution? Thanks in advance.

Answer 1

[Kaustav Bhattacharya]

You can use 'syms' to symbolize N, w, ss and mor. Define the first equation 'Its'. Nest use the 'diff' function { diff(lts,N) } to partially differentiate.

[Ahmed Abed]

Hi Kaustav, thanks for the answer

{ diff(lts,N) }=-(44*(ss/mor)^(11/5))/(5*N^(3/5)*w*(N^(2/5) + 29)^2)

this part can be easly solved as you suggested. But how to subsititute equation 2

{N=(22*(ss/mor)^(-2.2)/(w*lts)-29)^(5/2)} in the resulting equation of the diffrentiation process and simplify the result?