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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
- Show that the largest rectangle with a given perimeter is a square.
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- Show that of all the rectangles inscribed in a given circle, the sq...
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- Show that the triangle of maximum area that can be inscribed in a g...
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- Consider an ellipse x^(2)/a^(2) + y^(2)/b^(2)=1 What is the area of ...
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- Let A P and B Q be two vertical poles at points A and B respectivel...
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- If the length of three sides of a trapezium other than base are equ...
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- Show if f(x)=|x| is differentiable for all x.
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- If f(x) and g(x) are differentiable for all, x then d/dx(f(g(x)))=f'(...
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- If f is differentiable, then d/dxf(sqrtx)=(f'(sqrtx))/(2sqrtx).
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- Derive d/dx(tanx)=sec^2 x
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- If f(x)=(1+x)(1+x^2)(1+x^3)(1+x^4), then f'(0)=1
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- If f(x)=7x-8, then f'(3)=
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- Show that the equation of the tangent line to the parabola y=x^2 at (-...
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- Write True/False: If for any function y=f(x), f'( c )=0, then the ta...
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- If f'(x)=1/(3-x)^2, the equation of the tangent line to f(x) at (0, 1/...
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- Write True/False: All critical points of f(x) satisfy f'(x)=0
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- Write True/False: If f'( c ) does not exist and f'(x) changes from po...
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- Write True/False: If f'( c ) exists and f'( c )gt0, then f(x) has a l...
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- Write True/False: If f(x) has an absolute maximum at x=c, then f'( c ...
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- Write True/False: If f'( c )=0 then f(x) has a local maximum or a loc...
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