For the first one, multiply everything in the numerator through and cancel.
1. Evaluate limit: lim h-0 1(3+h)^2+5(3+h)-(1*3^2+5*3) / h
limit=?
2. limit: lim h-0 (8+h)^2-64 / h represents the derivative of some function f (x) at some a.
Find f=? and a=?
3. If someone now told you that the derivative (slope of the tangent line to the graph) of f(x) at x=-1 was -1/n^2 for some interger n.
What is n=?
4. Let f and g be functions that satisfy f '(-3)= 12 and g '(-3)= 3. find h '(-3) for function h(x)= -3g(x)-11f(x)-10x.
What is h' (-3)=?
5. f(x)=tanx
find:
f ''(x)= ?
f '''(x)=?
f ''''(x)=?
thank you very much. Have a great day.
Edit: Only 2. and 3. require help now.
What do you mean compare ? can you explain more details.
For number 2: Let . Calculate the difference quotient for
h=.1 := -0.0408163265306119
h=.01 := -0.04008016032063799
h=-.01 := -0.03992015968063978
h=-.1 := -0.039215686274509665
thats wat i got.
Now: If someone now told you that the derivative (slope of the tangent line to the graph) of at was for some integer what would you expect to be?
It's no skin off my chin whether you think my answers are right or wrong. The issue is that you're trying to enter correct answers into Webwork and are getting told that they're wrong. This is a problem you need to sort out. Do the question numbers you posted here match the question numbers in Webwork, that is, are you entering the correct answers in the correct fields ....?