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Show that the equation of the tangent li...

Show that the equation of the tangent line to the parabola `y=x^2` at (-2,4) is y-4=-4(x+2).

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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. If f(x)=(1+x)(1+x^2)(1+x^3)(1+x^4), then f'(0)=1

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Differentiate ax^2+b

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

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

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

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

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

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

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