Mathematics - Application of Derivative Question with Solution | TestHub

$2\left(y-x^5\right) \left(\frac{dy}{dx}-5x^4\right)$
$=1{\left(1+x^2\right)}^2+\left(x\right) \left(2\left(1+x^2\right) \left(2x\right)\right)$
Now put$x=1, y=3$and$\frac{dy}{dx}=m.$
$2\left(3-1\right) \left(m-5\right)=1 \left(4\right)+\left(1\right) \left(4\right) \left(2\right)$
$m-5=\frac{12}{4}$
$m=5+3=8$
$\frac{dy}{dx}=m=8.$