Ex 6.3

Chapter 6 Class 12 Application of Derivatives
Serial order wise

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### Transcript

Ex 6.3, 14 Find the equations of the tangent and normal to the given curves at the indicated points: (iv) π¦=π₯2 ππ‘ (0, 0) Given Curve is π¦=π₯^2 Differentiating w.r.t.π₯ ππ¦/ππ₯=2π₯ We know that Slope of tangent is ππ¦/ππ₯ Given point is (0 , 0) Slope of tangent at (0 , 0) γππ¦/ππ₯βγ_((0 , 0) )=2(0) =0 We know that Slope of tangent Γ Slope if Normal =β1 0 Γ Slope if Normal =β1 Slope if Normal =(β1)/( 0) Equation of tangent at (0 , 0) & having Slope zero is (π¦β0)=0(π₯β0) We know that Equation of line at (π₯1 , π¦1)& having Slope m is π¦βπ¦1=π(π₯βπ₯1) Finding equation of tangent & normal Now Equation of line at (π₯1 , π¦1) & having Slope m is π¦βπ¦1=π(π₯βπ₯1) Equation of tangent at (0, 0) & Slope 0 is (π¦β0)=0(π₯β0) π¦β0=0 π=π Equation of Normal at (0, 0) & Slope (β1)/0 is (π¦β0)=1/0 (π₯β0) 0 Γ (π¦β0)=1(π₯β0) 0=π₯β0 π=π

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.