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Byju's Answer
Standard XII
Mathematics
Derivative of One Function w.r.t Another
If fx=cos xFi...
Question
If f(x) =cos x
Find f"(x) or double derivative
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Solution
The function is
f(x)=cosx
Differentiating once:
f'(x)=−sinx
Differentiating again:
f''(x)=−cosx
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Similar questions
Q.
If
f
(
x
)
=
⎧
⎪
⎨
⎪
⎩
x
(
e
1
/
x
−
1
)
e
1
/
x
+
1
x
≠
0
0
x
=
0
then
f
′
(
0
+
)
(or) the right derivative of
f
at
x
=
0
Q.
f(x)=x cosx
Find
f
′
(
π
)
Formula: cos(A+B)= cosA cosB- sinA sinB.
Q.
Let the function
f
(
x
)
=
x
1
+
e
1
/
x
if
x
≠
0
,
f
(
x
)
=
0
. If
x
=
0
, the derivative from the right
f
′
(
0
+
)
and the derivative from the left
f
′
(
0
−
)
are
Q.
If
f
(
1
)
=
1
,
f
′
(
1
)
=
3
, then the value of derivative of
f
(
f
(
f
x
)
)
)
+
(
f
(
x
)
)
2
at
x
=
1
is?
Q.
Suppose that
f
(
x
)
is a quadratic expression, positive for all real
x
. If
g
(
x
)
=
f
(
x
)
+
f
′
(
x
)
+
f
′′
(
x
)
, then
(where
f
′
(
x
)
and
f
′′
(
x
)
represent first and second derivative respectively)
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