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Find the equations of the tangent and no...

Find the equations of the tangent and normal to the given curve at the indicated point: `y=x^4-6x^3+13 x^2-10 x+5` at `(1,3)`

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To find the equations of the tangent and normal to the curve \( y = x^4 - 6x^3 + 13x^2 - 10x + 5 \) at the point \( (1, 3) \), we will follow these steps: ### Step 1: Differentiate the function We need to find the derivative of the function to determine the slope of the tangent line at the given point. \[ y = x^4 - 6x^3 + 13x^2 - 10x + 5 \] ...
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NCERT-APPLICATION OF DERIVATIVES-EXERCISE 6.3
  1. Find the equations of all lines having slope 0 which are tangent to t...

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  2. Find the equation of the tangent line to the curve y=x^2-2x+7which is(...

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  3. Find the equations of the tangent and normal to the given curve at th...

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  4. Find the points on the curve y=x^3at which the slope of the tangent i...

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  5. Show that the tangents to the curve y=7x^3+11 at the points where x =...

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  6. Find the points on the curve x^2+y^2-2x-3=0at which the tangents are ...

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  7. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

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  8. Find the slope of the tangent to the curve y=(x-1)/(x-2), x!=2 at x= 1...

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

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

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

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  12. Find points at which the tangent to the curve y=x^3-3x^2-9x+7is paral...

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

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

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

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

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

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

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

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

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