Devin's Reflection

Guidelines for Implicit Differentiation

1. Differentiate both sides of the equation with respect to x

2. Collect all terms involving dy/dx on the left side of the equation and move all other terms to the right side of the equation

3. Factor dy/dx out of the left side of the equation

4. Solve for dy/dx

To find an Implicit Differentiation

1. Differentiate both sides of the equation with respect to x

2. Collect the dy/dx terms on the left side of the equation and move all other terms to the right side of the equation

3. Factor dy/dx out of the left side of the equation

4. Solve for dy/dx by the left side of the equation.

Determine the slope of the tangent line to the graph of 2x^2+y^2=2

Ex. First take the derivative of the equation

4x+2ydy/dx=0

Solve for dy/dx

Dy/dx= -4x/2y

Dy/dx= -2x/y

Trig and Differentiable Function

Find dy/dx implicity for the equation sin y=x. Then find the largest interval od the form –a <>

Ex. d/dx[tany]=d/dx[x]

Sec^2ydy/dx=1

Dy/dx=1/sec^2y