Answer to Question #185789 in Calculus for kaye

Question

𝒇(𝒙) = 𝐜𝐨𝐬(𝟐𝒙

𝟑 + 𝟏)

Answer 1

Differentiate using chain rule which states that

d/dx [f(g(x))] is

f′(g(x))g′(x)

f(x) =Cosx

g(x)= 2x³+ 1

-sin(x³+1)d/dx(2x³+1)

= -6x²sin(x³+1)