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Class XII Maths Applications of Derivatives 3
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Question 1
Let a, b ∈ R be such that the function f given by f(x) = ln |x| + bx2 + ax, x ≠ 0 has extreme values at x = - 1 and x = 2.
Statement 1: f has local maximum at x = -1 and at x = 2
Statement 2: a=1/2 and b=-1/2
Statement 1: f has local maximum at x = -1 and at x = 2
Statement 2: a=1/2 and b=-1/2
Question 2
The maximum and minimum value of 
lie in the interval (assuming 
)
lie in the interval (assuming )Question 3
On the interval [0, 1] the function 
takes its maximum value at the point
takes its maximum value at the pointQuestion 4
The slope of the tangent to the curve represented by x = t2 + 3t – 8 and y = 2t2 – 2t – 5 at the point M (2, –1) is
Question 5
The slope of the tangent to the curve represented by x = t2 + 3t – 8 and y = 2t2 – 2t – 5 at the point M(2, –1) is
Question 6
Consider
, 
A normal to y = f(x) at
also passes through the point:
, A normal to y = f(x) at
also passes through the point:Question 7
The slope of the line touching both the parabolas y2 = 4x and x2 = – 32y is
Question 8
Angle between the tangents to the curve y = x2 – 5x + 6 at the points (2, 0) and (3, 0) is
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Apr 21JEE & BITSAT
