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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
- The vertices of a triangle are (0,0), (x ,cosx), and (sin^3x ,0),w h ...
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- Assertion Let f:R→R,f(x)=x^3+x^2+3x+sinx f(x) is one-one. Reason f(x) ...
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- The base of prism is equilateral triangle. The distance from the centr...
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- Let f(x)=2x-sinx and g(x)=3sqrtx . Then
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- Let f(x)=x^4-4x^3+6x^2-4x+1. Then, (a) f increase on [1,oo] (b) f dec...
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- The set of all x for which log(1+ x) le x is equal to …… .
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- The maximum value of the function f(x)=2x^3-15 x^2+36 x-48 on the set ...
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- Let f(x)={x e^(a x),x lt=0;x+a x^2-x^3,x >0 where a is a positive con...
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- Suppose f(x) is a function satisfying the following conditions : ...
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- It is given that equation 4x^3-3x-p=0 has a unique root in the interva...
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- Using the relation 2(1−cosx)<x^2 ,x=0 or prove that sin(tanx)≥x,∀ϵ[0,...
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- If P(1)=0a n d(d P(x))/(dx)gtP(x), for all xge1. Prove that P(x)>0...
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- If p(x) is a polynomial of degree 3 satisfying p(-1)=10 , p(1) =-6 a...
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- The larger of cos[log(theta)] and log(costheta) if e^(-pi/2) < theta <...
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- The function y=2x^2-log(x) is monotonically increasing for values of x...
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- The volume of the greatest cylinder which can be inscribed in a cone o...
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- Use the function f(x)=x^(1//x),xgt0 to determine the bigger of the two...
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- For all x in (0,1) (a) e^x<1+x (b) (log)e (1+x) < x (c) sin x > x ...
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- Let A(p^2,-p),B(q^2, q),C(r^2,-r) be the vertices of triangle ABC. A p...
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- If the function f(x)=(Ksinx+2cosx)/(sinx+cosx) is strictly increasing ...
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