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If f(x)=a|sinx|+be^|x|+c|x|^3 and if f(x...

If `f(x)=a|sinx|+be^|x|+c|x|^3` and if `f(x)` is differentiable at `x=0` then

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RD SHARMA ENGLISH-DIFFERENTIABILITY-All Questions
  1. Let f(x)={1/(|x|)for|x|geq1a x^2+bfor|x|<1iff(x) is continuous and dif...

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  2. If f(x) = sqrt(1-(sqrt1-x^2)) , then f(x) is (a)continuous on [-1, ...

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  3. If f(x)=a|sinx|+be^|x|+c|x|^3 and if f(x) is differentiable at x=0 the...

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  4. Solve the following equation for x : cos(tan^-1 x) = sin(cot^-1(3/4))

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  5. Find the principal values the following : sin^-1{cos(sin^-1(sqrt(3)/2)...

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  6. Solve the following equation for x : cos(tan^-1 x) = sin(cot^-1(3/4))

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  7. For the principal values, evaluate the following : sin^-1(-sqrt(3)/2)+...

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  8. If A is a square matrix such that |A| = 2, write the value of | AA^T|

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  9. Find the domain of the function f(x) = sin^-1 sqrt(x-1)

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  10. If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then find the value of x^2+y^2+...

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  11. If f(x) = (x^l/x^m)^(l+m) (x^m/x^n)^(m+n) (x^n/x^l)^(n+l), then find f...

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  12. Show that f(x)=|x| is not differentiable at x=0.

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  13. Evaluate : tan(cos^-1(-7/25))

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  14. For what choice of a and b is the function f(x)={x^2,xlt=c and a x+...

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  15. Discuss the differentiability of f(x)=x|x| at x=0

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  16. Show that the function f(x)={ x^2sin(1/x) , when x !=0 and 0 when x=0 ...

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  17. If f(2)=2a n df^(prime)(2)=1, then find (lim)(xvec2)(xf(2)-2f(x))/(x-2...

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  18. If sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then find the value of x^2+y^2+...

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  19. Show that f(x)=|x| is not differentiable at x=0 .

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  20. Show that the function f(x)={x-1\ \ \ ,\ \ \ if\ x<2 \ \ \ \ \ \ \ ...

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