Limits
find the given limit
lim_{x\rightarrow2}5
What is 5?
Given f(x)=25x+1,950 ,
d/dxf(x).
What is 25?
Given 1+dy/dx=8x ,we find this implicit derivative
What is
8x-1
The absolute minimums on the [1,3] interval of
f(x)=x^2-4x
What is x =2? or the point (2,-4)
Evaluate
\int_0^1\2xdx
What is 1?
Given f(x)=x,
lim_{x\rightarrow2}f(x)
What is 2?
Given f(x)=1/3x^3 ,
d/dxf(x)
What is
x^2
Given f(x)=1/2e^(2x) ,
d/dxf(x)
What is
e^(2x)
The absolute maximum on the [3,5] interval of
f(x)=x^2-4x
What is x=5? or the point (5,5)
Evaluate
\int_1^(2)\6x^2dx
What is 14?
Given f(x)=1/(x-1)
lim_{x\rightarrow2}f(x)
What is 1?
Given f(x)=ln(x)+e^x,
d/dxf(x)
What is
1/x+e^x
The implicit derivative with respect to x given x^2+y^2=1 .
What is
2x+2y\cdot dy/dx=0
The Critical value(s) for the function
f(x)=100x-25x^2
What is x=2?
\int_\ 6x^2-4xdx
What is 3x^3-4x^2 +C
Given f(x)=(x^2-9)/(x-3) ,
lim_{x\rightarrow3}f(x)
What is 6?
Given f(x)=sqrt(x) ,
d/dxf(x)
What is
1/(2sqrt(x))
Given f(x)=(3x^2-6)^2 ,
d/dxf(x)
What is 12x(3x^2-6)
A local maximum on the [0,10] interval for
f(x)=10x-2.5x^2
What is 2? or the point (2, 10)
Evaluate
\int_(0)^x\sinxdx
What is 1 - cos x
Give f(x)=2x+4 ,
lim_{h\rightarrow0}(f(2+h)-f(2))/h
What is 2?
Given f(x)=3/2x^(2/3) ,
d/dxf(x)
what is
x^(-1/3)
Given (2x-1)^2(6x+3),
dy/dx do not simplify
What is
dy/dx=4(2x-1)(6x+3)+6(2x-1)^2.
The possible inflection point(s) for the function
f(x)=x^3/3-x^2/2
What is x = 1/2
Evaluate
\int_-1^(0)\8x^3-10x + 4dx
What is -1?