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Iff(x)={sin^(-1)(sinx),x >0, pi/2,x=0,tc...

`Iff(x)={sin^(-1)(sinx),x >0, pi/2,x=0,tcos^(-1)(cosx),x<0`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If for a function f(x),f^'(a)=0,f^(' ')(a)=0,f^(''')(a)>0, then at x=a...

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  2. The function f(x)=x(x+4)e^(-x//2) has its local maxima at x=adot The...

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  3. Iff(x)={sin^(-1)(sinx),x >0, pi/2,x=0,tcos^(-1)(cosx),x<0

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  4. f: R to R ,f(x) is differentiable such that f(f(x))=k(x^5+x),k!=0)dot ...

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  5. Consider the function f:(-oo,oo)to(-oo,oo) defined by f(x)=(x^2-a)/(x^...

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  6. If f: RtoRa n dg: RtoR are two functions such that f(x)+f^(primeprime)...

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  7. Let h(x)=x^(m/n) for x in R , where m and n are odd numbers where 0<...

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  8. Find the number of points of maxima and minima of the function. f(x)=1...

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  9. Let (h , k) be a fixed point, where h >0,k > 0. A straight line passin...

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  10. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

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  11. let f(x)=-x^3+(b^3-b^2+b-1)/(b^2+3b+2) if x is 0 to 1 and f(x)=2x-3 if...

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  12. A cubic f(x) vanishes at x= -2 and has relative minimum and maximum a...

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  13. A window of perimeter P (including the base of the arch) is in the ...

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  14. A point P is given on the circumference of a circle of radius r. Chord...

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  15. Show that 2sinx+tanx≥3x, where 0≤x< π/2 ​

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  16. Find the maxima and minima of the function y=x(x-1)^2,0lt=xlt=2.

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  17. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

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  18. The smallest positive root of the equation tanx-x=0 lies in (a)(0,pi/2...

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  19. Let P(x)=a0+a1x^2+a2x^4+...+an x^(2n) be a polynomial in a real variab...

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  20. A cylindrical container is to be made from certain solid material whic...

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