Differential Calculus Exam Questions with Verified Solutions (Graded A+)
1 view 0 purchase
Course
Differential Calculus
Institution
Differential Calculus
Differential Calculus Exam Questions with Verified Solutions (Graded A+)
Average Rate of Change - Answers Slope of two points
Instantaneous Rate of Change - Answers Derivative
Derivative is - Answers the slope of the tangent line at one point
Mean Value Theorem - Answers If a function is both c...
Differential Calculus Exam Questions with Verified Solutions (Graded A+)
Average Rate of Change - Answers Slope of two points
Instantaneous Rate of Change - Answers Derivative
Derivative is - Answers the slope of the tangent line at one point
Mean Value Theorem - Answers If a function is both continuous and differentiable on an interval, then
there exists some 'c' in that interval at which the average rate of change equals the instantaneous rate
of change
Normal line - Answers Perpendicular to a tangent line
Definition of Derivative - Answers The limit as h approaches 0 of [f(x+h) - f(x)]/h
A function is not differentiable at - Answers A corner, cusp, vertical tangent, or discontinuity (point,
jump, or infinite discontinuity)
Product rule - Answers "First times the derivative of the second plus second times the derivative of the
first"
Quotient rule - Answers "Bottom times the derivative of the top minus top times the derivative of the
bottom, all over the bottom squared"
Chain rule - Answers "Outside-Inside" Rule
d/dx sin(x) - Answers cos(x)
d/dx cos(x) - Answers -sin(x)
d/dx tan(x) - Answers sec²(x)
d/dx sec(x) - Answers sec(x)tan(x)
d/dx csc(x) - Answers -csc(x)cot(x)
d/dx cot(x) - Answers -csc²(x)
d/dx arctan(x) - Answers 1 / (1+x²)
d/dx ln(x) - Answers 1 / x
d/dx e^x - Answers e^x
Velocity - Answers Derivative of position
Acceleration - Answers Derivative of velocity
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller TutorJosh. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.99. You're not tied to anything after your purchase.
