Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] (Use non-identity functions for f(u) and g(x).) y =tan(x³) (f(u), g(x)) = Find the derivative dy dx = dy dx

Q: Write the composite function in the form f(g(x)).   u = g(x) =     y = f(u) =     Then find…

A:

Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y =…

A: Given : The function is y = cos ( x3 ) .

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A: Given query is to find the functions of the the composite function.

Q: (b) g(x) = (1+4x)*(3+ x – x²)®

A: ddxuv=vdudx+udvdxHere u= 1+4x5, v=3+x-x28dudx=51+4x4×4  ,   dvdx=83+x-x27×-3x2g'x=3+x-x28  5 1+4x4 4…