Calculus
# Differentiability

Which of the following is the tangent line to the curve $f(x)=2x^3-8x^2$ at the point $(1,-6)?$

Find the equation of the tangent line to the curve $x^2y-x=4y^3-108$ for $x=0.$

What is the $y$-intercept of the tangent line to the curve $y=e^{x-4}$ at the point $(5,e)?$