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CHETANA PUBLICATION-Applications of Derivatives-Exercise
- Show that the function f(x) = frac {4x^3 +1 }{x} is a decreasing func...
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- Divide the number 20 into two parts such that their product is maximum...
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- A metal wire of 36 cm long is bent to form a rectangle. Find its dimen...
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- A rectangular sheet of paper has area 24 sq. meters. The margin at t...
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- The frequency of a sound wave is n and its velocity is v. If the frequ...
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- An open cylindrical tank whose base is a circle is to be constructed ...
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- A manufacture can sell x items at the rate of ₹ (330-x) each. The cos...
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- Find the co-ordinates of the points on the curve 4y=x^2, which are n...
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- Two sides of a triangle are given, find the angle between them such th...
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- The combined resistance R of two resistance R1 and R2, where R1, R2 ge...
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- Determine the extreme values of the function. a^2 cos^2x+b^2 sin^2x. ...
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- Discuss the extreme values of f(x) = x^5 -3 x^4+5
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- If the sum of the length of the hypotenuse and another side of a righ...
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- The slant side of a right circular cone is l. Show that the semi verti...
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- If the function f(x) = ax^3 + b x^2+11x - 6 satisfies conditions of ...
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- If f(x) = frac {x^2 -1}{x^2 +1}, for every real x, then the minimum v...
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- A ladder 5 m in length is resting against vertical wall. The bottom of...
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- Let f (x) and g (x) be differentiable for 0 < x < 1 such f(0)= 0 , g (...
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- Let f (x) = x^3-6x^2 +9x +18, then f(x) is strictly decreasing in- A) ...
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- If x = -1 and x= 2 are the extreme points of y= alpha log x+ beta x^2...
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