Derivatives
f(x)=3x3+2x+3 Find f'(x)
9x2+2
what is the third planet from the sun?
Earth
What is the unit circle?
the unit circle is a circle with unit radius
Who were the founders of Calculus?
Sir Isaac Newton and Gottfried Wilhelm von Leibniz
what is the intermediate value theorem?
if the function is continuous it must hit every point in between
The derivative of velocity is...
acceleration
CSC x=
1/sin x
What is the coordinate point for 45 degrees
(√2/2,√2/2)
What is Calculus' primary focus?
Studying how things change
chain rule
deriv of outside inside still in it times deriv of outside
What is the derivative of tan(x)?
(sec(x))2
tan x
sin x/cos x
What are the radians for 120degrees
2pi/3
Where is Calculus used?
Careers such as computer jobs, economists, biologists, and more.
quotient rule
is a formula for taking the derivative of a quotient of two functions
low d high - high d low all over low squared
F(x)=(5x-2)/(x2+1) Find F'(x)
(-5x2+4x+5)/(x2+1)2
If the function approaches different y values from the left and right sides
what are the radians for the coordinate point
(-√3/2,-1/2)
7pi/6
Calculus is latin for...?
Pebble
product rule
first times deriv second - second times deriv first
f(x)=3sin(x)-2cos(x) find f'(x)
3cos(x)+2sin(x)
Determine all the numbers c which satisfy the conclusions of the Mean Value Theorem for the following function. f(x)=x^2+2x-1 on [-1,1]
c= 0
what is the degree and radians for the coordinate point (1/2,-√3/2)
300 degrees
5pi/3
When was Calculus discovered?
Late 1600's
what is l'hopitals rule
if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and denominator then take the limit