Unit 4b so calculud

Problem Solving

1) Read and identify information 2) Draw a picture (if appropriate) and write the function 3) Identify the domain, that makes sense in the problem, and graph if needed 4) Identify end points and critical points 5)Solve 6) Interpret solutions to make sense in the problem

Steps for relationships of rates

1)start implicit in respect to time (d/dt) 2)take derivative 3)plug in rate numbers 4)solve 5) make sure you answered the question.

Rates are relative to time sooo...

Take the derivative with respect to time

Linearization of f at a

The approximating function L(x)=f(a)+f'(a)(x-a) when f is differentiable at x=a

Maximum Profit

The marginal cost c'(x)=r'(x)

Minimizing Average Cost

When marginal cost c'(x)= c(x)/x

What happens when there are multiple variables in the equation?

Work the problem to get 1 variable through info given in the text

Differential dy

Y=e^sinx