Taking derivative and putting it equal to 0 to find theta.

S = (6*s*h) - ((3*s*s*cot(x))/2) + ((3*s*s*sqrt(3)*csc(x))/2)

This is the equation of surface area of a beehive. I have to take first derivative and put it equal to 0 to find the theta i.e x. Could someone help me with this.

Answer 1

[Stephan]

syms s h S(x)
fun = S(x) == (6*s*h) - ((3*s*s*cot(x))/2) + ((3*s*s*sqrt(3)*csc(x))/2) 

fun = 

sdot = diff(fun,x) == 0

sdot = 

Answer 2

[VBBV]

syms x s h
S = (6*s*h) - ((3*s*s*cot(x))/2) + ((3*s*s*sqrt(3)*csc(x))/2) 

S = 

Y = diff(S,x) == 0  % take derivative of equation w.r.t x 

Y = 

sol = solve(Y,x)  % find x (theta) 

sol =