Integrals
Graphs
Derivatives
More Derivatives
Misc/Even more derivatives
100
[1,4]
∫5x²+8x+5x dx
210.667
100
Where is(are) the removable discontinuity(ies)?
x=-2
100
f(x)= x²+5x+x²/2
f'(5)=?
20
100
f(x)=sec(x)
f'(1)=?
1
100
What is the theorum that states that if a function is continuous on a given interval, and a given y value exists in the interval, it's given y value must exist in the interval as well.
Intermediate Value Theorum(IVT)
200
[1,]
∫1/5x dx
0.322
200
if f(0)=-4 on the velocity time graph, what is the distance at f(8)?
1
200
h(x)=g(x)*f(x)
g(x)=x²+5
f(x)=1/x²
h'(2)=?
-1.25
200
f'(5/3)= e-3x+ 5
-3
200
Find dy/dx at (2,5) if x⁵-5y²=7y+8
80/57
300
[2,4]
∫(2x²+5x)/x) dx
22
300
Is this Is this graph differentiable at f(4)?
No
300
lim_(x->0) ((3x³-2x²)/x⁶)
0
300
Where are the critical points on the equation
f(x)=(x³/3)-x²-8x+84
x=-2, 4
300
What is the theorum that ensures that if a function is differentiable and continuous, it must have a global max/min on the given interval.
Extreme Value Theorum(EVT)
400
[0, π /2]
∫(1/(1+x²))+7 dx
12
400
Using a midpoint Reinman sum, and 5 equal subintervals, find the approximate area under this graph.(ignore the rectangles on the graph)
330
400
h(x)=f(x)/g(x)
f(x)= (x³+4)²
g(x)=5x²
h'(1)=?
-4
400
is the equation of f(x)= x⁵+10x²+2x concave down or up at x=-2?
Concave Down
400
Find the slope of the normal line for the equation f(x)=x²-9x at x=10.
-1/11
500
[2,3]
∫x²(x³-7)³dx
13,333.25
500
C
500
A box must have a volume of 100 cm³. Find the dimensions of the box to minimize the amount of material used.
x=7.36
y=1.84
500
A five foot ladder leans against a wall. The base slides horizontally away from the wall at a rate of 2 ft/s. At what rate is the top of the ladder sliding down the wall when the base is 4 feet from the wall?
-8/3
500
Using the table below, find h'(3)
h(x)=(x²+5g(x))/f(x)
9