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so given f(x) = x - 4x^2
now f(x+h) = (x+h) - 4(x+h)^2
= (x+h) - 4(x^2 + h^2 + 2xh)
= (x+h) -4x^2 - 4h^2 -8xh
so now limit h -->0 f(x+h) - f(x) / h = [ (x+h) - 4x^2 -4h^2 -8xh - x +4x^2 ] / h
= [ h -4h^2 -8xh ] / h
= h [ 1 -4h -8x ] /h
= [ 1 - 4h -8x ]
so but h ->0 so plug h value
now we get = 1 - 4*0 -8x
= 1 - 8x
for the second one post it in another question I will answer thank you. comment for any doubts
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