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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
- Discuss the maxima and minima of the function f(x)=x^(2/3)-x^(4/3)dot
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- Find the approximate value of (1. 999)^6 .
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- Discuss the extremum of f(x)={1+sinx ,x<0x^2-x+1,xgeq0a tx=0
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- Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...
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- Find the value of a if x^3-3x+a=0 has three distinct real roots.
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- Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, The...
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- The curve f(x)=(x^2+a x+b)/(x-10) has a stationary point at (4,1) . Fi...
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- Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...
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- Let f(x) be defined as f(x)={tan^(-1)alpha-5x^2,0ltxlt1 and -6x ,xge...
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- Consider the function f(x)=8x^2-7x+5 on the interval [-6,6] .the valu...
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- Let f(x)={x^3-x^2+10 x-5,xlt=1, \ -2x+(log)2(b^2-2),x >1 Find the val...
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- Using lagrange's mean value theorem, show that (beta-alpha)/(1+beta^2...
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- Find the minimum value of |x-1|+|x-2|+|x-3|
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- Let f(x)a n dg(x) be two differentiable functions in R a n d f(2)=8,g(...
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- Discuss the extremum of f(x)={x^2+x^-2}
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- Using Lagranges mean value theorem, prove that |cosa-cosb|<=|a-b|dot
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- Find the maximum value and the minimum value of 3x^4-8x^3+12 x^2-48 x+...
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- Find the value of the x^2+7xy+y^2, when x=-2, y=-5
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- Discuss the global maxima and global minima of f(x)=tan^(-1) x- (log)e...
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- Suppose alpha,beta a n d theta are angles satisfying 0 < alpha < thet...
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