Derivative Concepts
The derivative rule applied to this equation:
f(x)=5
is...?
What is the constant rule?
integrals are commonly referred to as ..?
what is the anti-derivative?
f(x)= 6x5+sin(x)
what is f'(x)=30x4+cos(x)?
the anti-derivative of sin(x) is this.
what is -cos(x)?
6x=21+90x. solve.
what is -0.25?
The derivative of Ln(x) is ... ?
what is 1/x?
The constant attached to the function goes here ___ before the step ____
What is goes in front of the integral before taking the anti-derivative?
f(x)=(4x2-9)/8
what is f'(x)=x
The anti-derivative of an acceleration function gives this determiner.
what is velocity?
A line goes through the point (3,0) and can be modeled by the equation y=6x-18. Give the tangent line equation.
The derivative of logax is... ?
what is 1/x*1/ln(a) ?
The anti-derivative equation 5x2-9ex is missing ___?
what is +c?
The velocity of an object is modeled by V(x)=ln(x)+2x3, the acceleration of this object at time x=2 is this speed in MPH.
what is A(2)=49/2 mph
F(x)=1/2x1/3-5
f(x)=3x2/3-5x+c
What is Cheyenne?
How many derivative rules would be applied to this equation to get the derivative? Name them ALL.
f(x)= sin(x2)-2x+1
What are three...?
Chain rule
Constant rule
power rule
The area under the curve with right square cross-sections perpendicular to the x-axis is modeled by this equation.
what is (integral notation)(f(x)-g(x))2
the derivative of -cos(x) at x=pi/3 is this.
what is root 3 over 2?
y=x2 and y=x3 are revolved around the x-axis. This is the area of their revolution.
what is 2pi/35?
This function undoes ln(x).
what is ex?
The derivative to the six trig identities are...?
sin, cos, tan, sec, csc, tan
what is cos(x), -sin(x), (sec(x))2, sec(x)tan(x),
-csc(x)cot(x), -csc2(x)
The equation for the washer method is this.
The derivative of sec2(x) is equivalent to -2sin(x)/cos3(x). true or false?
what is false?
x=square root(y) and y=4x-x2 . Revolve around the x-axis.
Mark and Virge go on a hike but get lost. Virge brought beef jerky and a bottle of refreshing water. Mark brought a pencil and a sheet of integral equations. Should Virge help Mark out and give him some beef jerky to stay alive or should she let him die because he was stupid to bring math on a camping trip in the remote Canadian forests?
Give your reasoning, best contentions win the points.
There is no correct answer. This would never happen.