deriving implicitly
Implicit differentiation is all about solving for y as a function of x instead of solving for x as a function of y. The key to understanding and solving implicitly is to consider (y) as a function. This means we are required to differentiate using the product, quotient, and/or chain rule.
Steps to Implicit Differentiation:
1. Rewrite expression with all y's in parenthesis
2. Differentiate the expression with respect to x
3. If problem asks for slope or dy/dx , solve for dy/dx
4. If problem asks for equation of tangent line, use point and derivative to find y-intercept
2. Differentiate the expression with respect to x
3. If problem asks for slope or dy/dx , solve for dy/dx
4. If problem asks for equation of tangent line, use point and derivative to find y-intercept
Numerical Practice problem
Solve.