Answer to Question #194336 in Calculus for Moe

Question

True or False.

Function $g(x) = x^3 + 5x - 3$ has no tangent

Answer 1

$g(x)=x^3+5x-3$

$g'(x)=3x^2+5$

When we put $g'(x)=0$

we did not got real value of x , so no tangent exists.