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A cube of ice melts without changing shape at the uniform rate of 4 cm3/minute. The rate of change of the surface area of the cube, in cm3/minute, when the volume of the cube is 125 cm3, is

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Important Questions on Application of Derivatives

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Gamma Question Bank for Engineering Mathematics>Chapter 25 - Application of Derivatives>Assignment>Q 7
Two cyclists start from the junction of two perpendicular roads, their velocities being 3v metres/minute and 4v metres/minute. The rate at which the two cyclists are separating is
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Gamma Question Bank for Engineering Mathematics>Chapter 25 - Application of Derivatives>Assignment>Q 8
The interval on which fx=2x3+9x2+12x−1 is decreasing in
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Gamma Question Bank for Engineering Mathematics>Chapter 25 - Application of Derivatives>Assignment>Q 9
The exhaustive values of x for which fx=cot−1x+x is increasing is
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Gamma Question Bank for Engineering Mathematics>Chapter 25 - Application of Derivatives>Assignment>Q 10
The function fx=x3−3x is
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Gamma Question Bank for Engineering Mathematics>Chapter 25 - Application of Derivatives>Assignment>Q 11
Let fx=xex1−x, then fx is
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Gamma Question Bank for Engineering Mathematics>Chapter 25 - Application of Derivatives>Assignment>Q 12
Which of the following is correct?
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Gamma Question Bank for Engineering Mathematics>Chapter 25 - Application of Derivatives>Assignment>Q 13
if fx=xsinx and gx=xtanx, where 0<x≤1, then in this interval
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Gamma Question Bank for Engineering Mathematics>Chapter 25 - Application of Derivatives>Assignment>Q 14
Let f''x>0 ∀x∈R and let gx=fx+f2−x then interval of x for which gx is increasing is