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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
- A cylindrical container is to be made from certain solid material whic...
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- Statement 1: If f(0)=0,f^(prime)(x)=ln(x+sqrt(1+x^2)), then f(x) is po...
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- Match the items of column I with column II and select the correct opti...
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- Find the points at which the function f given by f(x)=(x-5)^4 has loca...
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- Find the greatest value of f(x)=1/(2a x-x^2-5a^2)in[-3,5] depending up...
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- The set of all values of a for which the function f(x)=(sqrt(a+4)/(1...
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- Let f(x)=(x^3-6x^2+12 x-8)e^xdot Statement 1: f(x) is neither maximum...
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- Statement 1: The function f(x)=x^4-8x^3+22 x^2-24 x+21 is decreasing f...
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- If f is a real function such that f(x) > 0,f^(prime)(x) is continuous ...
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- Let f(x)=x^3-3x^2+6AAx in \mathbb{R} and g(x)={m a x :f(t ; x+1lt=tlt=...
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- From a fixed point A on the circumference of a circle of radius r , th...
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- The lower corner of a leaf in a book is folded over so as to reach the...
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- h(x)=3f((x^2)/3)+f(3-x^2)AAx in (-3, 4) where f''(x)> 0 AA x in (-3,4)...
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- If 0<x1<x2<x3<pi, then prove that sin((x1+x2+x3)/3)>(sinx1+sinx2+sinx3...
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- Prove: sin^2θ+cos^2θ=1
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- Prove that (tan^(-1) 1/e)^2+(2e)/ sqrt(e^2+1)<(tan^(-1)e)^2+2/(sqrt(e^...
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- If f(x)=x^3+bx^2+cx+d and 0ltb^2ltc then in (-oo,oo)
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- The function defined by f(x)=(x+2)e^(-x) is (a)decreasing for all x ...
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- Find the values of x where f(x)=sin(lnx)-cos(lnx) in strictly increasi...
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- Let f(x)=x^3+a x^2+b x+5sin^2x be an increasing function on the set Rd...
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