# Tangent and concavity of parametric equations

## Everything You Need in One PlaceHomework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered. | ## Learn and Practice With EaseOur proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals. | ## Instant and Unlimited HelpOur personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now! |

#### Make math click 🤔 and get better grades! 💯Join for Free

0/1

##### Intros

0/6

##### Examples

###### Lessons

- Find $\;\frac{dy}{dx}\;$ and $\;\frac{d^2y}{dx^2}$
**Questions Regarding to Tangents and Concavity**

Find the tangent to the cycloid $x=r(\theta - \sin \theta)$, $y=r(1-\cos \theta)$ when $\theta = \frac{\pi}{4}$ and $r$ > $0$. Determine the concavity for all values of $\theta$. (Do not eliminate the parameter)- Find the point of the parametric curve $x=t^2+1$ and $y=t^3+t^2$, in which the tangent is horizontal.
- Find the tangent to the curve $x=3 \cos t$, $y=4 \cos t$ by: