Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
y
=
e
5
sin
(
3
x
)
y=e^{5\sin (3x)}
y
=
e
5
s
i
n
(
3
x
)
. a. (i) Find
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
. b. (ii) Hence, calculate
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at
x
=
π
3
x=\dfrac{\pi}{3}
x
=
3
π
, leaving your answer in simplest exact form.
Browse the problem library