Find the tangent and normal of the following curves at the given points on the curve :
Problem 1 :
y = x^{2} - x^{4 }at (1, 0)
Problem 2 :
y = x^{4} + 2e^{x} at (0, 2)
Problem 3 :
y = x sin x at (π/2, π/2)
Problem 4 :
x = cos t, y = 2 sin^{2} t at t = π/3
Problem 5 :
Find the equations of the tangents to the curve
y = (x + 1) / (x - 1)
which are parallel to the line x + 2y = 6.
Equation of tangent 1) 2x + y = 2 2) 2x - y = - 2 3) y = x 4) 4x + 2y -5 = 0 x + 2y - 7 = 0 and x + 2y = -1 |
Equation of normal x - 2y = 1 x + 2y = 4 y = -x + π x - 4y + 5 = 0 |
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM