Equation of the Tangent and Normal
Category : JEE Main & Advanced
(1) Equation of the tangent : The equation of the tangent to the curve \[f'(a)\] at a point \[P({{x}_{1}},\,{{y}_{1}})\] is \[y-{{y}_{1}}={{\left( \frac{dy}{dx} \right)}_{({{x}_{1}},\,{{y}_{1}})}}(x-{{x}_{1}})\].
(2) Equation of the normal : The equation of the normal to the curve \[y=f(x)\] at a point \[P({{x}_{1}},\,{{y}_{1}})\] is \[y-{{y}_{1}}=\frac{-1}{\left( \frac{dy}{dx} \right)_{({{x}_{1}},\,{{y}_{1}})}^{{}}}(x-{{x}_{1}})\]
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