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CHETANA PUBLICATION-Applications of Derivatives-Exercise
- Verify LMVT for the following functions: f(x) = x+1/x, x in (1,3)
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- Find c, if LMVT is applicable for f(x)= x(x-1)(x-2), x in (0, frac{1...
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- Test whether the following functions are increasing or decreasing: f(x...
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- Test whether the following functions are increasing or decreasing: f(x...
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- Find the values of x, such that f(x)= 2x^3 -15x^2 +36x +1 is an increa...
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- Find the values of x, such that x^2+ 2x - 5 is an increasing function
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- Find the values of x, for which f(x) = x^4 + 2x^3 + 1 is a decreasing ...
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- Find the values of x, such that f(x) = 2x^3- 15x^2 -84x-7 is a decreas...
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- 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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