Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Differentiate the function
y
=
(
sin
(
x
2
)
)
2
y = (\sin(x^2))^2
y
=
(
sin
(
x
2
)
)
2
with respect to
x
x
x
, applying the chain rule carefully. You may use the identity
sin
2
θ
=
2
sin
θ
cos
θ
\sin 2\theta = 2 \sin \theta \cos \theta
sin
2
θ
=
2
sin
θ
cos
θ
to simplify your final expression if desired.
Browse the problem library