Find derivative of with respect to of the function () = 4 cos(3 + 1).
Answers
Step-by-step explanation:
The derivative of
cos
3
(
x
)
is equal to:
−
3
cos
2
(
x
)
⋅
sin
(
x
)
You can get this result using the Chain Rule which is a formula for computing the derivative of the composition of two or more functions in the form:
f
(
g
(
x
)
)
.
You can see that the function
g
(
x
)
is nested inside the
f
(
)
function.
Deriving you get:
derivative of
f
(
g
(
x
)
)
-->
f
'
(
g
(
x
)
)
⋅
g
'
(
x
)
In this case the
f
(
)
function is the cube or
(
)
3
while the second function "nested" into the cube is
cos
(
x
)
.
First you deal with the cube deriving it but letting the argument
g
(
x
)
(i.e. the
cos
) untouched and then you multiply by the derivative of the nested function.
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Which is equal to:
−
3
cos
2
(
x
)
⋅
sin
(
x
)
Answer:
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