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Find the slope of the tangent to curve y...

Find the slope of the tangent to curve `y=x^3-x+1` at the point whose x-coordinate is 2.

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The given curve is `y=x^3-x+1`
`:. (dy)/(dx)=3x^2-1`
The slope of the tangent to the curve at `x=2` is given by
`((dy)/(dx)_(x=2)=(3x^2-1)_(x=2)`
...
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NCERT-APPLICATION OF DERIVATIVES-EXERCISE 6.3
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  5. Find the slope of the tangent to the curve y=(x-1)/(x-2), x!=2 at x= 1...

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  6. Find the slope of the tangent to curve y=x^3-x+1 at the point whose x...

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  7. Find the slope of the tangent to the curve y=3x^4-4xat x = 4.

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  8. Find the slope of the normal to the curve x=1-asintheta,y=bcos^2thetaa...

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  10. Find the slope of the tangent to the curve y=x^3-3x+2 at the point wh...

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  11. Find the slope of the normal to the curve x=acos^3theta,y=sin^3thetaat...

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  12. Find the point on the curve y = (x - 2)^(2) at which the tangent is pa...

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  13. Find the point on the curve y=x^3-11 x+5at which the tangent is y = x...

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  14. Find the equation of the normals to the curve y=x^3+2x+6which are par...

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  15. Prove that the curves x=y^2and x y = k cut at right angles* if 8k^2=1...

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  16. Find the equations of the tangent and normal to the hyperbola (x^2)/(...

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  17. Find the equation of the tangent to the curve y=sqrt(3x-2)which is par...

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

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

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  20. Find the equation of the normal at the point (a m^2,a m^3)for the curv...

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