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The gradient of the curve y=x^3-3x^2-2x+...

The gradient of the curve `y=x^3-3x^2-2x+7` at (1,3) is

A

3

B

-4

C

-5

D

7

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The gradient of the curve y=x^3-3x^2-2x+7 at (1,3) is

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  2. The slope of the tangent to the curve y=6+x-x^2 at (2,4) is

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  3. The slope of the tangent to the curve y=sinx at x=pi//4 is

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  4. The slope of the tangent to the curve x^2+y^2=4 at(sqrt(2),sqrt(2)) is

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  5. The slope of the tangent to the curve x=at^3,y=at^4at t=1 is

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  6. Slope of the normal to the curve y=cos2x "at" x=pi//6 is

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  7. Slope of the normal curve xy=12 at (3,4) is

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  8. Slope of the normal to the curve x^3+y^3=6xy at (3,3) is

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  9. The slope of the normal to the curve x=a(theta-sintheta),y=a(1 -costhe...

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  10. Slope of the normal to the curvex=a(t+sint),y=a(t-sint) is

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  11. If normal of the curve is parallel to x axis then

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  12. If the slope of the tangent to the curve xy+ax=by at (1,1) is 2, then ...

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  13. The equation of the tangent to the curvey=x^3+1 at (1,2) is

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  14. The equation of the tangent to the curve 6y=7-x^3 at (1,1) is

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  15. The equation of the tangent to the curve y(x+1)=4 at the point (2,4//3...

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  16. The equation of the tangent to the curve 2x^2-xy+3y^2=18 at (3,1) is

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  17. The equation of the tangent to the curve y=x^3-2x+7 at (1,6) is

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  18. The equation of the tangent to the curve y=x^3-2x+7 at (x1,y1) is

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  19. The equation of the tangent to the curve y=(6x)/(x^2-1) at (2,4) is

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  20. The equation of the tangent to the curve y=8/(4+x^2) at x=2 is

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