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Show if f(x)=|x| is differentiable for a...

Show if f(x)=|x| is differentiable for all x.

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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Let A P and B Q be two vertical poles at points A and B respectivel...

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  2. If the length of three sides of a trapezium other than base are equ...

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  3. Show if f(x)=|x| is differentiable for all x.

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  4. If f(x) and g(x) are differentiable for all, x then d/dx(f(g(x)))=f'(...

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  5. If f is differentiable, then d/dxf(sqrtx)=(f'(sqrtx))/(2sqrtx).

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  6. Derive d/dx(tanx)=sec^2 x

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  7. If f(x)=(1+x)(1+x^2)(1+x^3)(1+x^4), then f'(0)=1

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  8. If f(x)=7x-8, then f'(3)=

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  9. Show that the equation of the tangent line to the parabola y=x^2 at (-...

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  10. Write True/False: If for any function y=f(x), f'( c )=0, then the ta...

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  11. If f'(x)=1/(3-x)^2, the equation of the tangent line to f(x) at (0, 1/...

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  12. Write True/False: All critical points of f(x) satisfy f'(x)=0

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  13. Write True/False: If f'( c ) does not exist and f'(x) changes from po...

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  14. Write True/False: If f'( c ) exists and f'( c )gt0, then f(x) has a l...

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  15. Write True/False: If f(x) has an absolute maximum at x=c, then f'( c ...

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  16. Write True/False: If f'( c )=0 then f(x) has a local maximum or a loc...

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  17. Let y=f(x) and z=g(x) be two curves. Then the tangents drawn to curves...

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  18. Given, f(x)=x^3-5x+2. Then f'(2) equals

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  19. d/dx(sinx^2)=?

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  20. Differentiate ax^2+b

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