Math Problem Statement

if siny+x=7/2, find the rate of change at point (3,pi/6)

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Trigonometry
Rates of Change

Formulas

Implicit differentiation: d/dx(f(y)) = f'(y) * dy/dx
Trigonometric derivative: d/dx(sin(y)) = cos(y) * dy/dx
Rate of change: dy/dx = -1 / cos(y)

Theorems

Chain Rule
Trigonometric Identities

Suitable Grade Level

Grade 12 / Early College