Question

let f(x)=x^3+1
a) Find f ' (x)
b) Simplify f(x+h)-f(x)/h
Please dont just tell me out to do it but show me the steps as I do not know how to continue.

Answer 1

3x^2

Answer 2

@popitree what about part b and ty so much

Answer 3

f'(x) = Lt h->0(f(x+h) - f(x))/h
here,
{(x+h)^3+1 - (x^3+1)}/h
=(x^3+3x^2h+3xh^2+h^3+1 - x^3 - 1)/h
=3x^2+(3xh+h^2)
now when h tends to 0 the second part vanishes and it will give u derivative

Answer 4

If i could give you more medals i would thanks man @popitree