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+...

ii)simplif (f(x+h)-f(x))/h

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!