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Mathematics
Mathematics
Problem
Differentiate
y
=
5
x
4
−
2
x
2
+
3
sin
x
−
4
cos
x
y=5x^{4}-2x^{2}+3\sin x-4\cos x
y
=
5
x
4
−
2
x
2
+
3
sin
x
−
4
cos
x
and hence find
y
′
y'
y
′
at
x
=
π
2
x=\dfrac{\pi}{2}
x
=
2
π
. a)
5
π
3
2
+
2
π
+
4
\dfrac{5\pi^{3}}{2}+2\pi+4
2
5
π
3
+
2
π
+
4
b)
5
π
3
2
−
2
π
\dfrac{5\pi^{3}}{2}-2\pi
2
5
π
3
−
2
π
c)
5
π
3
2
−
2
π
+
4
\dfrac{5\pi^{3}}{2}-2\pi+4
2
5
π
3
−
2
π
+
4
d)
5
π
3
2
−
2
π
−
4
\dfrac{5\pi^{3}}{2}-2\pi-4
2
5
π
3
−
2
π
−
4
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