Derivatives
Also known as the rate of change, this is what we must take to find the slope of a curve at a point.
What is a derivative?
What is cos(0)?
What is 1?
How tall is the man walking away from the lamppost?
What is 6 feet?
Name 3 places where limits do not exist.
What are oscillations, unbounded behavior, and different left/right behavior?
State the rhyme for remembering the Quotient Rule
Name 4 rules we could use to take the derivative of a function.
What are the power rule, product rule, quotient rule, chain rule?
What is sin(0)?
What is 0?
What is the formula for volume of a sphere?
What is v=4/3(pi)r^3
If a general (two-sided) limit DNE because of different left/right behavior, can we still find the left and right-handed limits?
Yes
Find any points where the graph fails to be differentiable and explain why 3√(5x+7)
What is y is not differentiable at x=-7/5 due to a vertical tangent
Find this equation's derivative: 4x^3 + 7x^2 + 2x + 3
What is 12x^2 + 14x + x?
What is sin(pi/2)?
What is 1?
What is the equation used to relate the three sides of a right triangle?
What is the Pythagorean Theorem?
Answer the following Limit Question: Lim x^2-3x-10/x^2-25 x->2
What is L=4/7
A function fails to be differentiable if it has a....
What is a discontinuity, corner, cusp or a vertical tangent
What is the derivative of (x^2-3)/(x^3+1)?
What is (x^3+1)(2x)-(x^2-3)(3x^2)/(x^3+1)^2?
What is cos(pi/2)?
What is 0?
When using related rates, we take the derivative of each variable with respect to what?
What is time?
What is the limit as x approaches 1 of 7x^4+2x^7/4x^7?
What is 9/4?
What is sin(pi/3)?
What is sqrt(3)/2?
What is the derivative of csc(x)?
What is -csc(x)cot(x)?
What shape is the unit circle?
What is a circle?
What is the formula for volume of a cone?
What is V=1/3(pi)(r^2)h?
What is the limit definition of a derivative?
Lim deltaX-->0 f(x+deltaX)-f(x)/deltaX
What is the derivative of position?
What is velocity?