Ncert Solutions Maths class 12th
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New answer posted
4 months agoContributor-Level 10
The given eqn of the curve is
slope of tangent to the given curve,
when the tangent is parallel to x-axis
x = 3 or x = -1
When x = 3,
And when x = -1
Hence, the required points are
New answer posted
4 months agoContributor-Level 10
The given eqn of the curves are
so,
Slope of tangent to curve at is
Hence, slope of normal to curve
New answer posted
4 months agoContributor-Level 10
The Equation of the given curve are
So,
and
So, which is the slope of the tanget to the curve.
Now, required slope of normal to the curve =
New answer posted
4 months agoContributor-Level 10
The given eqn of the curve is
Slope of tangent at x = 10 is given by,
New answer posted
4 months agoContributor-Level 10
The given eqn of the curve is
Slope of the tangent at x = 4 is given by
= 764
New answer posted
4 months agoContributor-Level 10
We have, f (x) = x2 e–x
So, f (x) =
= -x2 e-x + e-x 2x.
= x e-x ( x + 2).
If f (x) = 0.
x = 0, x = 2.
Hence, we get there disjoint interval
When, x we have, f (x) = ( -ve) ( + ve) = ( -ve) < 0.
So, f is strictly decreasing.
When x ∈ (0,2), f (x) = ( + ve) ( + ve) = ( + ve) > 0.
So, f is strictly increasing.
And when x ∈ f (x) = ( +ve) ( -ve) = ( -ve) < 0.
So, f is strictly decreasing.
Hence, option (D) is correct.
New answer posted
4 months agoContributor-Level 10
We have, f (x) = x3- 3x2 3x- 100.
So, f (x) = 3x2- 6x + 3 = 3 (x2- 2x + 1) = 3 (x- 1)2
For
(x- 10)2 , 0 for x = 1.
3 (x- 1)2
f (x)
∴f (x) is increasing on
New answer posted
4 months agoContributor-Level 10
We have, f (x) = log
f (x) =
whenx we get.
tanx> 0 (Ist quadrant).
tanx< 0
f (x) < 0.
∴f (x) is decreasing on
When x ∈ we get,
tanx|< |0 (ivth quadrant).
-tanx|>| 0
f (x) > 0
∴f (x) is increasing on
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