then
we cannot find
directly.
Instead we take the sin of both sides to obtain
and
differentiate implicitly using the chain rule. We obtain
A Level Maths Notes: FP2 - Differentiating Inverse Trigonometric Functions
Ifthen
we cannot finddirectly.
Instead we take the sin of both sides to obtainand
differentiate implicitly using the chain rule. We obtain
Since originally
was
given as a function of
we
would normally findas
a function of
We
can do this for
using
the identity
We
rearrange this to make
the
subject:
Hence
If
then
we cannot finddirectly.
Instead we take the cos of both sides to obtain
and
differentiate implicitly using the chain rule. We obtain
Since originallywas
given as a function ofwe
would normally findas
a function of
We
can do this forusing
the identityWe
rearrange this to make
the
subject:
Hence
If
then
we cannot finddirectly.
Instead we take the
of
both sides to obtain
and
differentiate implicitly using the chain rule. We obtain
Since originallywas
given as a function ofwe
would normally findas
a function of
We
can do this for
using
the identity
Hence