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Mathematics
Mathematics
Problem
Differentiate the following function w.r.t. x a.
4
x
+
x
4
+
4
4
4^x + x^4 + 4^4
4
x
+
x
4
+
4
4
b.
e
x
e
x
\frac{e^x}{e^x}
e
x
e
x
c.
e
n
log
e
x
+
e
x
log
e
n
+
e
n
log
e
n
e^{n \log_e x} + e^{x \log_e n} + e^{n \log_e n}
e
n
l
o
g
e
x
+
e
x
l
o
g
e
n
+
e
n
l
o
g
e
n
d.
(
x
+
1
x
)
2
\left(\sqrt{x} + \frac{1}{\sqrt{x}}\right)^2
(
x
+
x
1
)
2
e.
x
5
−
3
cos
x
x^5 - 3\cos x
x
5
−
3
cos
x
f.
a
x
2
+
b
x
+
c
x
\frac{ax^2 + bx + c}{\sqrt{x}}
x
a
x
2
+
b
x
+
c
g.
5
(
2
3
log
2
x
)
5(2^{3 \log_2 x})
5
(
2
3
l
o
g
2
x
)
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