differenciate sin²x
Answers
Answer:
sin 2x
Step-by-step explanation:
given that f(x) = sin^2x
d/dx (sin^2x) = 2sinx cosx
= sin 2x
Answer:
You would use the chain rule to solve this. To do that, you'll have to determine what the "outer" function is and what the "inner" function composed in the outer function is.
In this case,
sin
(
x
)
is the inner function that is composed as part of the
sin
2
(
x
)
. To look at it another way, let's denote
u
=
sin
(
x
)
so that
u
2
=
sin
2
(
x
)
. Do you notice how the composite function works here? The outer function of
u
2
squares the inner function of
u
=
sin
(
x
)
. Don't let the
u
confuse you, it's just to show you how one function is a composite of the other. Once you understand this, you can derive.
So, mathematically, the chain rule is:
The derivative of a composite function F(x) is:
F'(x)=f'(g(x))(g'(x))
hope it helps