Applications of Derivatives  MCQs

MCQs of Applications of Derivatives

Showing 261 to 266 out of 266 Questions
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261.
If m is the slope of the tangent to the curve ey = 1 + x2 _____.
(a) m>1
(b) m<1
(c) m<1
(d) m≤1
Answer:

Option (d)

262.
The curve y - exy + x = 0 has a vertical tangent at the point _____ .
(a) (1, 1)
(b) (0, 1)
(c) (1, 0)
(d) at no point
Answer:

Option (c)

263.
If f(x) = a logx+bx2+x has extreme values at x = -1 and x = 2, then _____.
(a) a = 2, b = -1
(b) a=2, b=-12
(c) a=-2, b=12
(d) None of the above
Answer:

Option (b)

264.
The number of values of x where the function f(x) =cosx + cos2x attains its maximum is _____.
(a) 0
(b) 1
(c) 2
(d) infinite
Answer:

Option (b)

265.
The maximum value of x2 logx on the interval [1, e] is _____.
(a) e2
(b) 1elog1e
(c) e2loge
(d) None of the above
Answer:

Option (a)

266.
Function f(x) =x1x is _____ .
(a) increasing on (1, ∞)
(b) decreasing on (1, ∞)
(c) increasing on (1, e) and decreasing on (e, ∞)
(d) decreasing on (1, e) and increasing on (e, ∞)
Answer:

Option (c)

Showing 261 to 266 out of 266 Questions
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