Implicit differentiation

The Implicit differentiation exercise appears under the Differentiation calculus Math Mission. This exercise solves derivatives in equation form that have multiple variables.

Types of Problems
There are three types of problems in this exercise. 1. Find the derivative of the function: The student is asked to find the derivative of a function that has multiple variables.

2. Find the rate in which values are changing: The student is asked to find the rate of change of two variables from the function.

3. Find the slope of the tangent: The student is asked to find the slope of the tangent line at a particular point.

Strategies
Knowledge basic derivative concepts are encouraged to ensure success on this exercise. 1. The equation of a unit circle is x^2+y^2=1 and it's derivative is -x/y

2. The derivative of xsqrt(y)=1 is -2x^-3

3. The derivative of e^xy^2 = x-y is (1-y^2e^(xy^2))/(2xye^(xy^2)