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Write True/False: If f'( c ) does not e...

Write True/False:
If f'( c ) does not exist and f'(x) changes from positive to negative as x increases through c, then f(x) has a local minimum at x=c.

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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. If f'(x)=1/(3-x)^2, the equation of the tangent line to f(x) at (0, 1/...

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

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

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

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

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

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

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

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

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  10. Differentiate ax^2+b

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  11. d/dx[(x+1)^3/x]=?

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  12. The derivative of y=|x-2| at x=2 is

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  13. Given the polar equation r=1. find dy/dx.

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  14. The slope of the normal to the curve y=2x^(2)+3sin x at x=0 is :

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  15. The line y=x+1 is a tangent to the curve y^(2)=4x at the point:

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  16. The slope of the tangent line to the curve y=x^3-2x+1 at x=1 is

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  17. Find the slope of the line whose parametric equations are x=4t+6 and y...

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  18. The slope of the tangent line to the curve x+y=xy at the point (2,2) i...

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  19. Find the coordinates of the vertex of the parabola y=x^2-4x+1 by makin...

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  20. Find the point in the parabola y^2=4x at which the rate of change of t...

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