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If f(x) is differentiable everywhere, th...

If f(x) is differentiable everywhere, then which one of the following is correct?

A

a) `|f|` is differentiable every where

B

b) `|f|^(2)` is differentiable everywhere

C

c) `f|f|` is not differentiable at some points

D

d) None of the above

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The correct Answer is:
C
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PUNEET DOGRA-DIFFERENTION-Practice Sheet
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  3. If y=x+e^(x), then what is (d^(2)x)/(dy^(2)) equal to ?

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  4. If x+y=t-1/t ,x^(2)+y^(2)=t^(2)+(1)/(t^(2)) What is (dy)/(dx) equal to...

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  5. What is the derivative of cos^(-1)((2cosx+3sinx)/(sqrt(13))) ?

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  6. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0 ?

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  7. xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(dx)=

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  8. If x=sint-tcost" and "y=tsint+cos t. then what is (dy)/(dx) at point t...

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  9. If y=sin^(-1)x+sin^(-1).sqrt(1-x^(2)) what is (dy)/(dx) equal to ?

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  10. If f(x)=log(e)[log(e)x]. then what is f (e) equal to ?

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  11. For the curve sqrt(x)+sqrt(y)=1, what is the value of (dy)/(dx) at (1/...

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  12. If y=(1)/(log(10)x) then what is (dy)/(dx) equal to

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  13. If x^(y)=e^(x-3) then dy/dx is equal to which one of the following ?

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  14. If f(x)=cosx.g(x)=logx." and "y="gof"(x) then what is the value of (dy...

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  15. What is the derivative of log(x)5 respect to log(5)x ?

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  16. If f(x)=sin^(2)x^(2), then what is f'(x) equal to ?

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  17. If f(x)=tanx+e^(-2x)-7x^(3). Then what is the value of f'(0) ?

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  18. If 3^(x)+3^(y)=3^(x+y), then what is (dy)/(dx) equal to ?

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  19. If y=sin(m sin^(-1)x). then what is the value of d^(2)y//dx^(2) at x=0...

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  20. If y=f(x)p=(dy)/(dx)" and q"=(d^(2)y)/(dx^(2)). then what is (d^(2)x)/...

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  21. If f(x)=e^(sin(log cos x)) and g(x)=log cos x, then what is the deriva...

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