WorksheetsWhen you see you think....
Total questions: 36
Worksheet time: 18mins
Find cosine of x=pi/3
Limits to infinity - big infinity over little infinity
Limit definition of the derivative question, find the derivative of cosine
Graph and find the limit
Limit definition of the derivative - find the derivative of x3 at x=2
Limits to infinity
Graph, then find limit
Factor and cancel
Little infinity over big infinity
Limit definition of the derivative
Factor, cancel, and substitute
Big infinity over little infinity
Big infinity over little infinity equals infinity
Little infinity over big infinity equals zero
Same infinity over same infinity equals ratio
Factor and cancel
Big infinity over little infinity equals infinity
Little infinity over big infinity equals zero
Same infinity over same infinity equals ratio of 1/1=1
Factor and cancel
Big infinity over little infinity equals infinity
Little infinity over big infinity equals zero
Same infinity over same infinity equals ratio equals 1/e
Factor and cancel
Big infinity over little infinity equals infinity
Little infinity over big infinity equals zero
Same infinity over same infinity equals ratio equals 2/3
Factor and cancel
Big infinity over little infinity equals infinity
Little infinity over big infinity equals zero
Same infinity over same infinity equals ratio equals 3/1
Same infinity over same infinity equals ration 9/1
0
1
cos(x)
sin(x)
0
1
cos(x)
sin(x)
3-x2
Limit to infinity
Substitute upper bound into x, multiply by derivative of the upper bound
Take antiderivative, evaluate integral
Substitute in upper bound, multiply by derivative of the upper bound
Take the anti-derivative, evaluate
x2-a
Limit to infinity
Take the derivative
graph the function
Set up to coordinate points, f and f-1. Set point equal to a, solve for x. Find f'(x). Take reciprical - 1/m
Integrate
Implicit differentiation - take derivative, remember that derivative of y is dy/dx, and look out for product rule (2xy)
Solve for y
Separate variables and solve
Solve for x
Implicit at a point - take the derivative (remember derivative of y is dy/dx), then substitute in x and y
Solve for y
Separate variables and solve
Solve for x
Implicit 2nd derivative - take derivative with quotient rule, substitute back in for dy/dx
Implicit 2nd derivative - take derivative of the top and the derivative of the bottom
Solve for y
Separate variables, integrate, solve for C, solve for y
Average rate of change
Average Value
Average rate of change
Average value
Average rate of change
Average value
Write the equation of the line tangent to f(x) at (a,b)
Distance
Displacement
Position
Acceleration
Distance
Displacement
Position
Acceleration
Distance
Displacement
Position
Acceleration
Find f'(0.1)
Write tangent line for (0,1), substitute 0.1 in for x
Integrate
Riemann sum
