What is the difference betweeen a secant line and a tangent line? Cannot be determined All of the above A secant line is simply a line with an AVERAGE rate of change joining two points of a function. A tangent line is a line with an INSTANTANEOUS rate of change at a specific point. None of the above

A secant line is simply a line with an AVERAGE rate of change joining two points of a function. A tangent line is a line with an INSTANTANEOUS rate of change at a specific point.

What should you do if a question asks you use the definition of a derivative or to use the limit process to find a derivative? Use one of these two equations: 1. General form: lim h-->0 f(x+h) - f(x)/h 2. Specific form: lim x-->c f(x) - f(c)/x-c You use the second equation when the question asks you to find the derivative at a specific point. Also, ALWAYS INCLUDE THE LIMIT SYMBOL IN YOUR WORK. None of the above Cannot be determined All of the above

Use one of these two equations: 1. General form: lim h-->0 f(x+h) - f(x)/h 2. Specific form: lim x-->c f(x) - f(c)/x-c You use the second equation when the question asks you to find the derivative at a specific point. Also, ALWAYS INCLUDE THE LIMIT SYMBOL IN YOUR WORK.

What should you remember to do when solving derivatives using the definition and limit process? Cannot be determined None of the above Use complex conjugates, split the fraction, multiply by what is needed, etc. All of the above

Use complex conjugates, split the fraction, multiply by what is needed, etc.

What are the sum/difference rules? Cannot be determined d/dx (f(x) + g(x)) = f'(x) + g'(x) d/dx (f(x) - g(x)) = f'(x) - g'(x) All of the above None of the above

d/dx (f(x) + g(x)) = f'(x) + g'(x) d/dx (f(x) - g(x)) = f'(x) - g'(x)

What is the normal line? Cannot be determined All of the above The line that is perpendicular to the tangent line None of the above

The line that is perpendicular to the tangent line

Calculus Flashcards: Derivatives, Rules, Trig & Geometry

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Calculus - Differential Equations

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Cards in this deck(47)

What is the difference betweeen a secant line and a tangent line?

What is the definition of a derivative?

What should you do if a question asks you use the definition of a derivative or to use the limit process to find a derivative?

What should you remember to do when solving derivatives using the definition and limit process?

What is the constant rule?

What is the power rule?

What are the sum/difference rules?

What is the normal line?

What is the derivative of sin x?

What is the derivative of cos x?

What is the derivative of e^x?

Whats a good tip when finding derivatives?

What is sin(a+b)?What is sin (a-b)?What is cos (a+b)?

What is the product rule?

What is the quotient rule?

What must happen for a function to be differentiable?

When should you use the quotient rule?

How should you enter your points

What should you know about the product rule?

What should you know about a the function and its respective derivative tangent line?

What is the derivative of tan x?

What is the derivative of cot x?

What is the derivative of csc x?

What is the derivative of sec x?

What is the chain rule?

What is the derivative of e^u?

What is the derivative of a^u?

What is the derivative of ln u?

What are the ln properties?

What should you know about graphs with sharp turns?

What are the steps for implicit differentiation?

When you have an implicit differentiation question that provides a point, what should you do?

When should you use ln to implicitly differentiate?

What should you be aware of when solving implicit differentiation problems?

What is the typical format for questions involving e^something?

What is pascal's triangle used for again?

When do you know to use product rule?

What is the derivative of arctan x?

What is the derivative of arcsin x?

What is the derivative of f inverse of x?

What is the derivative of cos inverse of x?

What is the derivative of sec inverse of u?

What is the volume of a cube?

What is the volume of a sphere?

What is the volume of a cone?

What is the volume of a cylinder?

What is the surface area of a cube?

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Calculus Flashcards: Derivatives, Rules, Trig & Geometry

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