3. Differentiation(COLON) Composite, Implicit, and Inverse Functions
Selecting Procedures For Calculating Derivatives — Quiz
Test your understanding of selecting procedures for calculating derivatives with 5 practice questions.
Practice Questions
Question 1
Which procedure is most appropriate for finding the derivative of $y=\sin(x^2)$?
Question 2
Which procedure is most appropriate for differentiating an equation like $x^2+y^2=25$ with respect to $x$?
Question 3
Which procedure should be used to find the derivative of $f^{-1}(x)$ when $f$ is a differentiable one-to-one function and $f^{-1}$ is known to exist?
Question 4
A student wants to differentiate $y=(3x-1)^5$. Which procedure is needed?
Question 5
Which derivative rule is most useful for finding the derivative of $y=x\,e^x$?