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Home » Find the equations of the tangent and normal to the given curves at the indicated points: (i) y = x ^4 – 6x^ 3+ 13x^ 2 –10x + 5 at (0, 5) (ii) y = x ^4 – 6x ^3 + 13x ^2 – 10x + 5 at (1, 3)
Find the equations of the tangent and normal to the given curves at the indicated points: (i) y = x ^4 – 6x^ 3+ 13x^ 2 –10x + 5 at (0, 5) (ii) y = x ^4 – 6x ^3 + 13x ^2 – 10x + 5 at (1, 3)
Applications of Derivatives | CBSE | Class 12 | Exercise 6.3 | Maths | NCERT
Find the equations of the tangent and normal to the given curves at the indicated points: (i) y = x ^4 – 6x^ 3+ 13x^ 2 –10x + 5 at (0, 5) (ii) y = x ^4 – 6x ^3 + 13x ^2 – 10x + 5 at (1, 3)

(i) Equation of the curve 

  

Now value of  at (0, 5)

At  (say)

 Slope of the normal at (0, 5) is 

 Equation of the tangent at (0, 5) is 

  

 

And Equation of the normal at (0, 5) is 

 

 

(ii) Equation of the curve 

  

Now value of  at (1, 3)

At  (say)

 Slope of the normal at (1, 3) is 

 Equation of the tangent at (1, 3) is 

  

 

And Equation of the normal at (1, 3) is 

 

 

i

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