Find the equations of the tangent and normal to the given curves at th

1.	Find the equations of the tangent and normal to the given curves at the given points (i) y=x4−6x3+13x2−10x+5 at (0,5) (ii) y=x4−6x3+13x2−10x+5 at (1,3) (iii) y=x3 at (1,1) (iv) y=x2 at (0,0) (v) x=cos t,y=sin t=π4
Answer» Find the equations of the tangent and normal to the given curves at the given points (i) $y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5 a t (0, 5)$ (ii) $y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5 a t (1, 3)$ (iii) $y = x^{3} a t (1, 1)$ (iv) $y = x^{2} a t (0, 0)$ (v) $x = c o s t, y = s i n t = \frac{π}{4}$

Find the equations of the tangent and normal to the given curves at the given points (i) y=x4−6x3+13x2−10x+5 at (0,5) (ii) y=x4−6x3+13x2−10x+5 at (1,3) (iii) y=x3 at (1,1) (iv) y=x2 at (0,0) (v) x=cos t,y=sin t=π4

Answer»

Find the equations of the tangent and normal to the given curves at the given points

(i) $y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5 a t (0, 5)$

(ii) $y = x^{4} - 6 x^{3} + 13 x^{2} - 10 x + 5 a t (1, 3)$

(iii) $y = x^{3} a t (1, 1)$

(iv) $y = x^{2} a t (0, 0)$

(v) $x = c o s t, y = s i n t = \frac{π}{4}$