y=x+π aisa ho to π=??????? tell
Answers
Answer:
good morning dear friend.
Answer:
What is the derivative of
y
=
x
π
?
Calculus Summary of Differentiation Rules
2 Answers
Alan P.
May 15, 2015
For any constant
c
if
y
=
c
x
then
d
y
d
x
=
c
Given
y
=
x
π
=
(
1
π
)
x
and while
1
π
might look like a weird constant, that's all it really is;
so
d
y
d
x
=
1
π
Answer link
Jim H
May 15, 2015
It is
1
π
Don't let
π
confuse you. (It's sneaky that way.)
π
is just a number. It's a little bigger than 3.
Speaking of which, what is the derivative of
y
=
x
3
? Well, since
x
3
=
1
3
x
it's the same as the derivative of any other number times
x
. It's just the number.
The derivative of
x
3
is
1
3
Back to the question at hand:
y
=
x
π
is the same as
y
=
1
π
x
.
So the derivative is
y
'
=
1
π
Note
It is possible to use the quotient rule for this kind of thing, but it's more involved and more tedious. (And also likely to result in error.)