Question

Find the radius of curvature of y=ln(x+1) at point (2, ln3).

Solution

VerifiedAnswered 8 months ago

Answered 8 months ago

Step 1

1 of 3We know that the formula for the curvature is $\color{#4257b2}\boxed{ \kappa(x)=\left|\frac{y^{\prime\prime}(x)}{\left(1+\left(y^{\prime}(x)\right)^2\right)^{\frac{3}{2}}}\right| }$

The radius of curvature of a curve $y=f(x)$ at the point $(p,q)$ is given by $\color{#4257b2} R=\dfrac{1}{\kappa(p)}$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Thomas' Calculus

14th Edition•ISBN: 9780134438986 (11 more)Christopher E Heil, Joel R. Hass, Maurice D. Weir10,142 solutions

#### Calculus: Early Transcendentals

9th Edition•ISBN: 9781337613927 (3 more)Daniel K. Clegg, James Stewart, Saleem Watson11,050 solutions

## More related questions

1/4

1/7