not sure about what this limit represents
given f(x)=x^4 (iv) stuck
i) complete this identity f(x+h) = x^4+4x^3h+...
iii)find lim h tends 0 of ii)
iv)state what this limit represents
the answer is gradient of (tangent to) curve but i'm not sure why. If someone could explain to me the reasoning then i could apply it to other q's,thnx
uhuh informal, formal gotcha!
k well basically i have no idea what your both on about so i just bunged in x^4 and (x+4)^4 - f(x) divided by 4 in my calculatorand this graph looked like the graph of its gradient if u know what i mean!!! gradient decreasing from -1 to 0 etc,,,
I guess youre both talking about that in some sense, thnx for reminder it was clear and my english is probably worse than yours!