Question

1.Ifg(x)=cos4x,find g'(pie/24).
2.Differentiate y=csc^2 pie*x

Answer 1

g(x) = cos 4x
g'(x) = -4sin 4x

g(π/24) = -4sin (π/6) = -4(1/2) = -2


y = (csc (πx) )^2
dy/dx = 2(csc (πx) ) (π) (csc (πx) ) (-cot (πx) )
simplify as needed