$f(x)=\sin x$ একটি ত্রিকোণমিতিক ফাংশন এবং $M=x-2$ একটি বীজগাণিতিক রাশি।

The abscissa of the points, where the tangent to curve $y={x}^{3} - 3{x}^{2} - 9x+5$ is parallel to x-axis, are

If the tangent at any point ;$P(4m^{2}, 8m^{3})$ of $x^{3}-y^{3}=0$ is also a normal to the curve & ; $x^{3}-y^{3}=0$ , then value of m is-

The slope at any point of a curve $y=f\left( x \right)$ is given by $\dfrac { dy }{ dx } =3{ x }^{ 2 }$ and it passes through $\left( -1,1 \right)$. The equation of the curve is