Math Problem Statement
For the following composite function, find an inner function uequalsg(x) and an outer function yequalsf (u) such that yequalsf(g(x)). Then calculate StartFraction dy Over dx EndFraction . yequalscosine StartFraction 8 x Over 5 EndFraction Question content area bottom Part 1 Select the correct choice below and fill in the answer box to complete your choice. A. StartFraction dy Over dx EndFraction equalsStartFraction d Over du EndFraction (u)timesStartFraction d Over dx EndFraction left parenthesis StartFraction 8 x Over 5 EndFraction right parenthesis equals enter your response here B. StartFraction dy Over dx EndFraction equalsStartFraction d Over du EndFraction left parenthesis StartFraction 8 u Over 5 EndFraction right parenthesis timesStartFraction d Over dx EndFraction (cosine x)equals enter your response here C. StartFraction dy Over dx EndFraction equalsStartFraction d Over du EndFraction (cosine u)timesStartFraction d Over dx EndFraction left parenthesis StartFraction x Over 5 EndFraction right parenthesis equals enter your response here D. StartFraction dy Over dx EndFraction equalsStartFraction d Over du EndFraction (cosine u)timesStartFraction d Over dx EndFraction left parenthesis StartFraction 8 x Over 5 EndFraction right parenthesis equals
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Composite Functions
Trigonometric Functions
Chain Rule
Formulas
y = cos(8x/5)
dy/dx = (dy/du) * (du/dx)
dy/du = -sin(u)
du/dx = 8/5
Theorems
Chain Rule
Suitable Grade Level
Grades 11-12