Math Problem Statement
x^2y-3y^2+10=0;\left(-1,:2\right) اوجد معادلتي المماس والناظم للمنحنى التالي
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Tangent Line
Normal Line
Derivatives
Algebraic Geometry
Formulas
Implicit differentiation: d/dx(f(x, y)) = f_x + f_y * (dy/dx)
Tangent line formula: y - y_1 = m(x - x_1)
Normal line formula: m_normal = -1/m_tangent
Theorems
Implicit Differentiation
Chain Rule
Slope of Tangent Line
Suitable Grade Level
Undergraduate Level (Calculus I)
Related Recommendation
Find Equation of Tangent and Normal Lines to y = 3x² - 2x + 1 at (1, 2)
Calculus Problem: Finding Tangent Lines to a Curve at a Given Point
Find points on the curve x^2 + y/x = 2 where the tangent is perpendicular to 2x - 2y = 5
Find the Gradient of the Curve x^2 + 3xy + y^2 = x + 3y at (2, -1)
Tangent Plane and Normal Line to Surface: x^2 + y^2 − 2xy − x + 3y − z = −4 at P(2, −3, 18)