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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
- Let f be a function defined on R (the set of all real numbers) such th...
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- f(x) is cubic polynomial with f(x)=18 and f(1)=-1 . Also f(x) has loca...
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- f(x)={(c^x ,,0lexle1),(2-c^(x-1) , ,1ltxlt=2),( x-c ,,2ltxlt=3):}, and...
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- A rectangular sheet of fixed perimeter with sides having their lengths...
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- The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...
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- Statement 1: Let f(x)=5-4(x-2)^(2/3)dot Then at x=2, the function f...
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- Let f: RvecR be differentiable and strictly increasing function throug...
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- The function defined by f(x)=(x+2)e^(-x) is decreasing for all x decr...
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- Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even ...
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- Prove that f(x)=a^x, 0<a<1, is decreasing in R.
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- Assertion Consider the following statements in S and R S: Both sinx a...
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- Statement 1: The function f(x)=x In x is increasing in (1/e ,oo) Stat...
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- Statement 1: f(x)=|x-1|+|x-2|+|x-3| has point of minima at x=3. State...
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- Find the point on the curve 4x^2 + a2y^2 = 4a^2, 4 < a^2 < 8 that is f...
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- Statement 1: For all a ,b in R , the function f(x)=3x^4-4x^3+6x^2+a x...
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- Statement 1: f(x)=(x^3)/3+(a x^2)/2 + x+5 has positive point of maxima...
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- If a function f(x) has f^(prime)(a)=0 and f^(primeprime)(a)=0, then (...
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- The minimum value of 2^((x^2-3)^3+27) is (a) 2^(27) (b) 2 (c) 1 (d...
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- If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...
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- The maximum value of ((logx)/x)is
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