CUET Preparation Today
CUET
-- Mathematics - Section A
Continuity and Differentiability
a
b
c
d
Slope of tangent = $f'(x)$
$=12x(4x^2-1)$
$⇒f'(2)=12×2(4(2)^2-1)$
$=24×15=360$
$\text{Slope of Normal} = \frac{-1}{\text{Slope of tangent}}$
$=\frac{-1}{360}$
To find the equation,
$y-y_1=Slope(x-x_1)$
$⇒y-3=360(x-2)$
$⇒y=360x-717$