Derivative-Solver.com
Derivatives
>
derivative of sqrt(x+\sqrt{x)}
Derivatives
Multiple Derivatives
Partial Derivatives
Implicit Derivatives
Study Guides
d
dx
(
√
x
+
√
x
)
=
2
√
x
+
1
4
√
x
√
x
+
√
x
Show Steps
« hide steps
d
dx
(
√
x
+
√
x
)
=
2
√
x
+
1
4
√
x
√
x
+
√
x
steps
d
dx
(
√
x
+
√
x
)
show steps
Apply
the
chain
rule
:
1
2
√
x
+
√
x
d
dx
(
x
+
√
x
)
=
1
2
√
x
+
√
x
d
dx
(
x
+
√
x
)
show steps
d
dx
(
x
+
√
x
)
=
1
+
1
2
√
x
=
1
2
√
x
+
√
x
(
1
+
1
2
√
x
)
show steps
Simplify
1
2
√
x
+
√
x
(
1
+
1
2
√
x
)
:
2
√
x
+
1
4
√
x
√
x
+
√
x
=
2
√
x
+
1
4
√
x
√
x
+
√
x
Number Line