If f(x)=3x^2 + 5x - 1, and point P(1, 7) is a point on the curve. Find the slope of the secant line through P and Q if Q has an x coordinate of 2
What is 14
100
What is the rule for f '(x) = r x^ r - 1
The Power Rule
100
f'(c)= [f(b)-f(a)]/(b-a) (What is this?)
What is Mean Value Theorem
200
what is the limit of y=10/(3x-9) as x approaches 3
What is DNE
200
y=12x^2+5x+4
What is y'=24x+5
200
If f(x) = x^2- 1, and point P(1, 0) is a point on the curve. Find the slope of the secant line through P and T if T has an x coordinate of 2.
What is 3
200
What is the rule for:
f'x [c] = 0
What is the constant rule
200
Limit y=(x^2-5x-10)/(x-10)
What is 15
300
what is the limit of y=(4x^2-7x^3)/(3+x^3) as x approaches infinity
What is Zero
300
Derivative of y=cosx
What is y'=-sinx
300
An object falling from the sky. The number y of feet fallen after t seconds is closely approximated by the function y = 16t^2. What is its average velocity from t = 4 seconds to t = 5 seconds?
What is 144ft/sec
300
(f o g)'(x)=f'(g(x))*g'(x)
What is chain rule
300
Derivative of y=(5x-2)/(4x+3)
What is 23/(4x+3)^2
400
what is the limit of y=(x^2-5x+4)/(x-1) as x approaches 1
What is -3
400
y=1/sinx
What is y'=cscxcotx
400
An object is dropped from the top of a 100m tower. It's height above ground after t secs is 100-4.7ft. How fast is it falling 2 sec after it is dropped?
What is 19.6ft/sec
400
f'(x)(u/v)= (u'v-uv')/v^2
What is Quotient Rule
400
Implicit Differentiatate 2x^2y+3xy^2=-7
What is y'=(-4xy-3y^2)/(2x^2+6xy)
500
what is the limit of y=(x^6-x^3)/(3+4x^5) as x approaches negative infinity
What is DNE
500
What is its own derivative
What is y=e^x
500
What is the formula of average rate of change
What is f(b) - f(a) / b-a
500
f '(x) = g(x) h '(x) + h(x) g '(x)
What is product rule
500
Find the are of the region enclosed by the curves y=x^2-5x and y=-x^2+5x