1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Derivative from First Principle
Find the deri...
Question
Find the derivative of
f
(
x
)
=
x
2
.
Open in App
Solution
Given :
f
(
x
)
=
x
2
We know that
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
+
h
2
+
2
x
h
−
x
2
h
⇒
f
′′
(
x
)
=
lim
h
→
0
h
2
+
2
x
h
−
x
2
+
x
2
h
⇒
f
′
(
x
)
=
lim
h
→
0
h
(
h
+
2
x
)
+
0
h
⇒
f
′
(
x
)
=
lim
h
→
0
h
(
h
+
2
x
)
h
⇒
f
′
(
x
)
=
lim
h
→
0
(
h
+
2
x
)
⇒
f
′
(
x
)
=
0
+
2
x
⇒
f
′
(
x
)
=
2
x
Hence,
f
′
(
x
)
=
2
x
Suggest Corrections
8
Similar questions
Q.
Find the Derivative of f(x) =
x
2
.at x = 0
Q.
Find the derivative of
f
(
x
)
=
x
2
−
2
a
t
x
=
10
Q.
Find the derivative of
f
(
x
)
=
x
2
−
2
at x = 10
Q.
Find the derivative of
f
(
x
)
=
x
cos
x
√
1
+
x
2
.
Q.
Find the derivative of
f
(
x
)
=
(
x
2
−
5
)
(
x
3
−
2
x
+
3
)
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Explore more
Derivative from First Principle
Standard XI Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app