Explain that the given curve has two tangent lines at the origin.
The given equations are and .
Find the slope.
Apply formula .
Apply chain rule.
Apply sum/difference rule.
Use derivative rule and .
Substitute the value of .
Use derivative rules
Find the value of the parameter at the origin.
There are two different tangents at the origin because there is two different slope values.
Now use point-slope form for the tangent equations.
The graph of the given curve and the tangent lines is given below.
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!