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Magazine Problem 1
Explicit and Implicit Functions Describe the difference between the explicit form of a function and an implicit equation. Give an example of each.
Problem 1
Product Rule Describe the Product Rule in your own words.
Problem 1
Chain Rule Describe the Chain Rule for the composition of two differentiable functions in your own words.
Problem 1
CONCEPT CHECK 1\. Constant Rule What is the derivative of a constant function?
Problem 2
General Power Rule What is the difference between the (Simple) Power Rule and the General Power Rule?
Problem 3
Implicit Differentiation Explain when you have to use implicit differentiation to find a derivative.
Problem 4
Chain Rule How is the Chain Rule applied when finding \(dy/dx\) implicitly?
Problem 9
Finding the Slope of a Tangent Line In Exercises 9-14, find the slope of the tangent line to the graph of the function at the given point. $$f(x)=3-5 x, \quad(-1,8)$$
Problem 11
Finding a Derivative In Exercises 7-26, use the rules of differentiation to find the derivative of the function. $$y=\frac{1}{x^{5}}$$
Problem 11
Area The radius \(r\) of a circle is increasing at a rate of 4 centimeters per minute. Find the rates of change of the area when \(r=37\) centimeters.
