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
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)=?
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?