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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
- Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is mon...
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- Prove that for any two numbers x1 and x2.(2e^(x1)+e^(x2))/3gte^((2(x1)...
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- Assertion Consider the following statements in SandR S: Both sinx and...
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- Let f(x)=int0^xe^t(t-1)(t-2)dt, Then f decreases in the interval
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- The length of the longest interval in which the function 3sinx-4sin^3x...
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- Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...
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- If f(x)=xe^(x(1-x)) , then f(x) is(a) increasing on [−1/2,1] (b) decr...
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- Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) the minimum value of f(x) as b...
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- Suppose that f is a polynomial of degree 3 and that f^(x)!=0 at any...
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- The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...
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- The value of a for which the functionf(x)=asinx+1/3sin3x has an extrem...
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- If f(x)=(t+3x-x^2)/(x-4), where t is a parameter that has minimum and ...
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- A factory D is to be connected by a road with a straight railway line ...
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- Let f(x)=ax^3+bx^2+cx+1 has exterma at x=alpha,beta such that alpha ...
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- Consider the function f(x)=xcosx-sinxdot Then identify the statement w...
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- The number of values of k for which the equation x^3-3x+k=0 has two di...
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- The least natural number a for which x+a x^(-2)>2AAx in (0,oo) is 1 (b...
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- A function f is defined by f(x)=|x|^m|x-1|^nAAx in Rdot The local max...
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- A rectangle of the greatest area is inscribed in a trapezium A B C D ,...
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- f(x)={4x-x^3+ln(a^2-3a+3),0lt=x<3 x-18 ,xgeq3 complete set of values...
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