find the derivative of f(x)=x² using first principal answer step by step
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1
Answer:
f
'
(
x
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
f
'
(
x
)
=
lim
h
→
0
(
x
+
h
)
2
−
x
2
h
f
'
(
x
)
=
lim
h
→
0
x
2
+
2
x
h
+
h
2
−
(
x
2
)
h
f
'
(
x
)
=
lim
h
→
0
h
(
2
x
+
h
)
h
f
'
(
x
)
=
lim
h
→
0
(
2
x
+
h
)
f
'
(
x
)
=
2
x
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