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It is [(2a+2h+5) - (2a+5)]/h = 2h/h = 2
The derivative of f(x) is lim h-->0 [f(x+h)-f(x)]/h. So let f(x) = -5x. The derivative is lim h-->0 [-5(x+h)- -5(x)]/h = lim h-->0 [-5x - 5h + 5x]/h = lim h-->0 -5h/h Since the limit h-->0 of h/h is 1, the derivative is -5
f+5
lim as h->0 of (f(x+h) - f(x))/h or lim as x->a of (f(x) - f(a))/(x - a)
e, f, h, k, z