Question

Find equations of both lines that are tangent to the curve y=1+x^3 and parallel to the line 12x-y=1 Find equations of both lines that are tangent to the curve y=1+x^3 and parallel to the line 12x-y=1 @Mathematics

Answer 1

your line has slope 12, and the derivative of
\[y=1+x^3\] is
\[y'=3x^2\] so set
\[3x^2=12\] and solve for x

Answer 2

thank you!